emilyaortega emilyaortega
  • 04-02-2021
  • Mathematics
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What is the value of y in the solution to this system of equations?
5x – 7y = 7
y = -5x + 3

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marcthemathtutor
marcthemathtutor marcthemathtutor
  • 04-02-2021

Answer:

y = -0.5

Step-by-step explanation:

given

5x – 7y = 7    ------- eq 1

y = -5x + 3  (we rearrange this so that the terms are in the same order as eq 1)

-5x – y = -3   ----- eq 2

by elimination, eq 1 + eq 2

(5x – 7y) + (-5x – y) = 7 + (-3)

5x - 7y -5x - y = 7-3

-8y = 4

y = 4/(-8)

y = -0.5

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