solve the following pair of linear equation 2x+3y=5 , 7x-5y=2 has a unique solution if yes find the solution
Answers
Answer:
(1, 1 )
Step-by-step explanation:
Given the 2 equations
2x + 3y = 5 → (1)
7x - 5y = 2 → (2)
Multiplying (1) by 5 and (2) by 3 and adding will eliminate the y- term
10x + 15y = 25 → (3)
21x - 15y = 6 → (4)
Add (3) and (4) term by term to eliminate y
31x = 31 ( divide both sides by 31 )
x = 1
Substitute x = 1 into either of the 2 equations and evaluate for y
Substituting into (1)
2(1) + 3y = 5
2 + 3y = 5 ( subtract 2 from both sides )
3y = 3 ( divide both sides by 3 )
y = 1
Solution is (1, 1 )
I used elimination method to solve for y then plug y in one of the equation and find for x
Related Questions
Which line plot displays a data set with an outlier?
Responses
An untitled line plot from 11 to 19. The plot displays the following values as dots above the corresponding value on the number line. One dot at 12. Two dots at 13. Two dots at 14. Four dots at 15. Two dots at 16. Two dots at 17. One dot at 18.
Image with alt text: An untitled line plot from 11 to 19. The plot displays the following values as dots above the corresponding value on the number line. One dot at 12. Two dots at 13. Two dots at 14. Four dots at 15. Two dots at 16. Two dots at 17. One dot at 18.
An untitled line plot from 10 to 21. The plot displays the following values as dots above the corresponding value on the number line. One dot at 11. Three dots at 13. Two dots at 14. Three dots at 15. Two dots at 16. Three dots at 17. One dot at 18. One dot at 20.
Image with alt text: An untitled line plot from 10 to 21. The plot displays the following values as dots above the corresponding value on the number line. One dot at 11. Three dots at 13. Two dots at 14. Three dots at 15. Two dots at 16. Three dots at 17. One dot at 18. One dot at 20.
An untitled line plot from 10 to 24. The plot displays the following values as dots above the corresponding value on the number line. Two dots at 11. Three dots at 12. Four dots at 13. Two dots at 14. Three dots at 15. One dot at 16. One dot at 23.
Image with alt text: An untitled line plot from 10 to 24. The plot displays the following values as dots above the corresponding value on the number line. Two dots at 11. Three dots at 12. Four dots at 13. Two dots at 14. Three dots at 15. One dot at 16. One dot at 23.
An untitled line plot from 10 to 19. The plot displays the following values as dots above the corresponding value on the number line. Three dots at 11. Three dots at 12. Three dots at 13. Three dots at 16. Three dots at 17. Three dots at 18.
Answers
Answer:
um im quite sure its the 2nd plot 10-21
Step-by-step explanation:
bc of ur description
please write a function for the points (1/3,0) (-2 3/4,0) and (0,-5) and explain the steps.
thank you!
Answers
The function for the points are y = -15x - 5
How to determine the functionFrom the information given, we have that;
The points are;
(1/3,0) (-2 3/4,0) and (0,-5)
Using the point-slope form of a linear equation, we have;
y - y₁ = m(x - x₁)
Such that;
m is the slope of the liney - y₁ and (x - x₁) are the pointsUsing (1/3, 0) and (0, -5), we have that the slope is;
m = (0 - (-5))/0 -1/3)
expand the bracket
= 5 / (-1/3)
= -15
Now, take any of the given points and substitute the values
Using (1/3, 0), we get;
y - 0 = -15(x - 1/3).
y = -15x - 5.
Learn more about functions at: https://brainly.com/question/25638609
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The function for the points solved by (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)
We have given the points:
(1/3,0) (-2 3/4,0) and (0,-5)
Using the formula of linear equation
\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)
Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)
that is 1/3 = \(a\), 0 = \(a_{1}\) and
0 = \(b\), -5 = \(b_{1}\)
\(x\) refers to the slope of line (take any variable)
Now for finding the value of \(x\),
\(x=a-a_{1}/b-b_{1}\)
inserting the values,
\(x=[0-[-5]]/[0-1/3]\\x= -15\)
Substitute the value of \(x\) in the equation
\(a-0=-15[b-1/3]\)
By simplifying the equation, we get
\(a=-15b-5\)
To know more about functions and points:
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PLEASE HURRRY AND ANSWER RIGHT
Answers
Answer:
B
Step-by-step explanation:
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PLS ANSWER I WILL GIVE BRAINLIEST
Answers
Answer:
D. -0.25 + (-2.7)
Step-by-step explanation:
Both numbers are a negative number, and they are getting added. -0.25 + -2.7 = -2.95. This equation equals to a negative number.
Hope this helps!
Create an equation that could be used to model the following scenario:
Alana spent half of her monthly income to pay for her cell phone bill. She then had to spend $38 to put gas in her car. She now has $17 left. How much money did she start the month with?
Answers
Answer: ( 38+17)x2=N
the answer in this equation is 110
Step-by-step explanation:
Which list orders the numbers from least to greatest?
Negative 2.4, negative 1.5, negative 2 and one-fourth, negative 3, negative 1 and one-eighth
A number line going from negative 4 to positive 4.
Negative 1 and one-eighth, negative 1.5, negative 2 and one-fourth, negative 2.4, negative 3
Negative 3, negative 2.4, negative 2 and one-fourth, negative 1.5, negative 1 and one-eighth
Negative 3, negative 2 and one-fourth, negative 2.4, negative 1 and one-eighth, negative 1.5
Negative 1.5, negative 1 and one-eighth, negative 2.4, negative 2 and one-fourth, negative 3
Answers
Negative 3, negative 2.4, negative 1.5, negative 2 and one-fourth, negative 1 and one-eighth
Hope my answer helps you✌️
Dylan and Tiffany each constructed a two-color spinner. Dylan spun his spinner 3 times and calculated that the
relative frequency of his spinner landing on blue (0.67) and on red (0.33). Tiffany spun her spinner 200 times
and calculated the relative probability of her spinner landing on blue (0.60) and on red (0.40).
How can Dylan's and Tiffany's calculations be used to evaluate the fairness of the two spinners?
Answers
Answer:
You can calculate the likeliness of the spinner landing on blue or red as the more spins you have the more accurate the results would be. In this case after 200 spins Tiffany calculated that the spinner landing on blue has a 60% chance while landing on red has a 40% chance. Therefore this might not be fair as there is a 60% chance landing on blue.
Step-by-step explanation:
pls help !! if i dont do it right ill have to repeat 7th grade.. can u guys pls give me the rights answer? if its not true the answerrs i can tell.. btw . i know all the questions im just really lazy. if u do it fake numbers just for points just know i can delete comments and your points wont be on ya acc nomo anywyays yea
Answers
Answer:
1. 5/4
2. 28/9
3. 8/21
4. 20/3
5. 10/9
6.11/4
Hope I helped
Answer:
1. 5/4 or 1.25
2. 8/21
3.10/9 or 1.1
4. 28/9 or 3.1 repeating
5. 20/3 or 6.6 repeating
6. 11/4 or 2.75
Step-by-step explanation:
please help me i will give brainliest to first person to anwser.
Answers
First we start with the formula for cylinders v=(pi)r(squared)h filled in Thats v=(3.14)(8 squared) (8) which brings us to the answer 1607.68 but you must round to the nearest tenth aka 1607.7
Answer:
The first option, V ≈ 1607.7 in²
Step-by-step explanation:
Find the volume of the given cylinder.
\(\begin{center}\framebox{\parbox{4cm}{\textbf{Volume of a Cylinder:}\\[2ex]The volume of a cylinder with radius $r$ and height $h$ is given by the formula:\\[2ex]\center{$V = \pi r^2 h$} \\ \\}}\end{center}\)
Given:
r = 8 in
h = 8 in
π = 3.14
Find:
V = ?? in³
\(\hrulefill\)
Now solving,
Substitute the given values into the formula:
=> V = (3.14)(8)²(8)
Using a calculator to simplify:
=> V = 1607.68 in²
Rounded to the nearest tenth:
∴ V ≈ 1607.7 in²
Thus, the first option is correct.
The average distance from the sun to the planet Mercury is about 58,000,000 km. The diameter of a human hair is about 0.0025 cm.
Part A) What is the distance from the sun to Mercury written in scientific notation?
Part B) What is the diameter of a human hair written in scientific notation?
Part C) In comparing the measurements in Parts (a) and (b), what else must be done before a comparison is made?
Answers
Answer:
Distance of Sun and Mercury = 58,000,000 km.
In Scientific notation, it would be: 5.8 × 10⁷ Km
Diameter of a human hair = 0.0025 cm
In scientific notation, it would be: 2.5 × 10⁻³ cm
Before Comparison, we need to bring to or vice-versa, so we can easily calculate then, here, we will go from cm to Km.
2.5 × 10⁻³ × 10⁻⁵ Km = 2.5 × 10⁻⁸
Now, we can compare the values,
5.8 × 10⁷ Km > 2.5 × 10⁻⁸
[ reason. - power of smaller number is in negative, it means, it is denominator, which would be very small as compared to other ]
Answer:
58,000,000 km
Step-by-step explanation:
please im sleep deprived
Answers
Answer:
20 square inches
Step-by-step explanation:
1/2(8)(5) is 20.
I hope this helps :)
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
1. Complimentary
2. Noncoordinatry
Step-by-step explanation:
2. supplementary: form a 180 degree angle
MATHEMATICS 8th pleace
Answers
i don’t know how to solve these can someone explain ?
Answers
first u should find the area of rectangular:
7 × 16 = 112
then u should find the area of triangular:
Altitude = 13- 7 = 6
base=16 - 8 = 8
so...u can find the area of triangular now:
(6× 8)÷2 = 48 ÷ 2 = 24
so...the area of your shape is: 112+ 24 = 136
Another one! Thanks for your help:)
Answers
Answer:
its the top right
Step-by-step explanation:
1/3 times 5/6 = 5/18
1/3 x 6/5 = 6/15 = 2/5
One less than one fourth the square of a number.
Answers
Answer:
1/4m²-1
let m be the number.
The international space station has small cupboards that are used for storage. A cupboard is drawn below (redrew by me cause I'm using chrome book and computer)
1. What is a formula that can be used to find the area of one triangular section of the door?
2. How do you know the formula will work?
Answers
Answer:
\(A=\frac{ab}{2}\) or \(A = a *\sqrt{c^2-a^2} /2\)
Step-by-step explanation:
Depending on the values you take depends on the equation you would use to solve for the area of a right triangle(the first answer accounts for measuring both arms(the sides connected to the 90 degree angle(a and b)), where as the second answer accounts for using the hypotenuse and one of the arms). That means that a 90 degree angle is involved, or as illustrated here, the square in the bottom right corner. If this were a non-right angle triangle, a different formula utilizing the height of the triangle would be used instead.
\(A = \frac{h_{b}+b}{2}\)
Since the right angle exists, a height is already given using one of the arms of the triangle in its place. We can also confirm it is a triangle by adding up all degrees of the triangle, in which it would equal 180 degrees confirming it is indeed a triangle as well.
By using trigonometric relations we will see that the area is:
How to find the area of one triangular section?
Remember that the area of a right triangle is equal to the product between the cathetus divided by 2.
Sadly, here we don't have the measures of any sides of the triangle, so getting the actual area is impossible, but if we assume that some dimension is given (like the height, let's say that is h).
h is the cathetus adjacent to the 60° angle, then the other cathetus (the bottom one) is given by:
tan(60°) = x/h
x = tan(60°)*h
Then our two catheti are h and tan(60°)*h.
This means that the area will be:
Here we only used trigonometric properties, so this area will work for any height given (always that the value of h is the cathetus adjacent to the 60° angle).
If you want to learn more about right triangles:
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.
Using powers of 10, which would be the best choice for the first number to subtract in the division problem 4860 ÷ 15?
1500
15,000
150
15
Answers
Answer:
1500
Step-by-step explanation:
When you do 4860 ÷ 15, your answer is 324, so you can round it and it's closer to 1500.
Answer:1500
Step-bro-step-sis explanation: cause it is
please help due in 20 minutes will give brainliest.
Answers
Answer:
The answer is A
Step-by-step explanation:
y=1.3(5) + 10 = 16.5 ---> True
y=1.3( 10) + 10 = 23 ----> True
y=1.3(15) + 10 = 29.5 ----> True
y=1.3(20) + 10 = 36 ----> True
Find the circumference of the circle in terms of π (pi)
A. 6π cm
B. 9π cm
C. 12π cm
D. 36π cm
(the radius is 6cm)
Answers
Answer:
36 (pi) cm
Step-by-step explanation:
C= 2(pi symbol lol)(6)
2(3.14)(6)=
37.68 which is the closest to d
help me with this please ASAP!!
Answers
PLSSS help me, i will give BRAINLIEST!!!
Answers
Which scenario can be modeled by the linear function
y = -15x + 500?
A. The temperature on Jupiter is
15℉ and increases by 500℉ every day.
B. There is a population of 500 giraffes in Western Africa that decreases by 15 giraffes each year.
C. A carpet cleaning service charges $500 plus an additional $15 for every hour.
D. A membership fee for a movie streaming service is free, but each rental costs $15.
Answers
Gas mileage is the number of miles you can drive on a gallon of gasoline. A test of a new car results in 530 miles on 20 gallons of gas. How far could you drive on 55 gallons of gas? What is the car's gas mileage?
Answers
Answer:
21 miles per gallon
Step-by-step explanation:
Divide 530 by 20, to get 26.5
Always divide the amount of miles by the galloons of gas to get answer. Hope this helped :)
Answer: 21 miles per gallon
Step-by-step explanation:
Divide 530 by 20, to get 26.5
Which factors affect the angle of sunlight on Earth?
I. The distance between Earth and the sun
II. Earth's tilt from its axis
III. The shape of Earth
I and II
II and III
I and III
I, II, and III
Answers
A store bought 300 toys at a cost of $10 each. The store sold all the toys at a percent markup of 40%. Find the total selling price.
(Round to the nearest dollar as needed.)
PLEASE DO THIS IM LIKE STRESSING OUT RN
Answers
Answer:
4200$
Step-by-step explanation:
If the store bought 300 toys at the cost of 10$, then the store spent 3000$.
We now know that 3000$ is 100%. To find 40% and to add that to 3000$, we must create the equation;
40/100x3000=1200$
All the toys were sold at 4200$, and the store profited 1200$.
I need help with this question, I'm not very good at math and all help is appreciated!
Answers
Answer:
A
Step-by-step explanation:
We can solve for H by isolating it on one side of the equation, as follows:
J/H - I/H = G
Taking H as the common denominator:
(J - I)/H = G
Multiplying both sides by H:
J - I = GH
Adding I to both sides:
J = GH + I
Dividing both sides by G:
H = (J - I)/G
So the answer is
(A)
H = (J - I)/G.
Answer: A
Step-by-step explanation:
\(\frac{J}{H} = G + \frac{I}{H}\) >Since you are solving for H bring I/H to the other side
by subtracting I/H from both sides
\(\frac{J}{H}- \frac{I}{H} = G\) >There is a common denominator so you can
combine the fractions
\(\frac{J-I}{H} = G\) >Multiply both sides by H or cross multiply whichever
way your mind things about how to get H on top
\(J-I = G(H)\) >Divide both sides by G
\(\frac{J-I}{G} = H\) >Answer is A
PLSSS HELP PLSSSSSSSS MARKING BRAINLIST QUESTION BELOW
Answers
Answer:
Hey there!
CarMart's rate of sales is 11 cars per day.
Winston's rate of sales is 10 cars per day.
Compared with CarMart, Winston is selling fewer cars per day.
Compared with CarMart, Winston started with 2 fewer cars.
Let me know if this helps :)
Answer:
CarMart's rate of sales is 11 cars in a day.
Winston's rate of sales is 10 cars in a day.
Compared with CarMart, Winston is selling less cars in a day.
Compared with CarMart, Winston started with two fewer cars.
Step-by-step explanation:
Can anyone help out with this! There seperate btw
Answers
Answer:
1. c, 2. b, 3. b
Step-by-step explanation:
1. 95 (congruent parts of congruent shapes are congruent) answer
2. 33 (same reason)
3. 4 (same)
Answer:
First Sheet: C) 95°
Second Sheet: B) 33°
Third Sheet: B) 4 units
Step-by-step explanation:
First Sheet:
Shape AKGP is the same as VWQX, meaning that the answers will be the same. Angle X is equal to angle P, meaning that the answer is 95°
Second Sheet:
Triangle SRT is equal to PQB. This means that angle Q is equal to angle R which means our answer is 33°
Third Sheet:
Since shape MQRN is equal to PKSD, we basically know the answer. The answer is 4 units because PK is equal to MQ.
The focus of the problem set is to show your ability to prove similarity between two triangles that are congruent. True False
Answers
Answer:
true bc i am smart
Answer:
the answer is TRUEStep-by-step explanation: