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5x + 7y = -29
y = x+1

1 Answer

4 votes

Answer:

x = -3

y = -2

Explanation:

By elimination method

5x + 7y = -29 equation1

y = x+1 equation2

change equation2 in the form of ax + by = c

-x + y = 1 equation3

multiply equation3 by 5

5(-x + y = 1)

-5x + 5y = 5 equation4

add equations 1 and 4

5x + 7y = -29

-5x + 5y = 5

___________

12y = -24

y = -2

substitute y = -2 to any of the equations to get the value of x. I will use equation2

y = x+1

-2 = x + 1

-2 - 1 = x

x = -3

By substitution method

5x + 7y = -29

y = x+1

5x + 7(x+1) = -29

5x + 7x + 7 = -29

12x = -29 - 7

12x = -36

x = -3

substitute x = -3 to y = x + 1

y = x+1

y = -3 + 1

y = -2

User Peter Lyons
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