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