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3) Two systems of equations are shown below.
4x + 5y = -3
5x - 3y = -13
20x + 25y = -15
-20x+12y = C
To make the systems equivalent, what must be the value of C in
the second system?
A. 3
B. 13
C.52
D.15

User Yonnaled
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2 Answers

4 votes
C.52 is the answer because you multiply-13 by -4 which gives you 52.
User Xun Jian
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4 votes

Answer: the answer is C

Explanation:

To make the systems equivalent, we need to multiply both sides of each equation in the first system by the same constant in order to get the corresponding equations in the second system.

If we multiply the first equation in the first system by 4, we get:

16x + 20y = -12

If we multiply the second equation in the first system by -4, we get:

-20x + 12y = 52

Comparing this to the second system, we see that the equation -20x + 12y = 52 matches the second equation in the second system. Therefore, the value of C in the second system must be 52.

So, the answer is C.

User CEarwood
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