x+7y=-37
4x-3y=7
Subtract 7y on both sides for the first problem
x=-37-7y
4x-3y=7
Substitute the x in the second problem for -37-7y
4(-37-7y)-3y=7
Multiply the 4 with -37 and -7y
-148-28y-3y=7
subtract the -28 with -3y
-148-31y=7
add 148 on both sides
-31y=155
divide the -31 on both sides to solve for y
y=-5
To solve for x substitute the y for -5 in the first problem
x=-37-7(-5)
Multiply the -7 with -5
x=-37+35
Add the -37 with the 35 to solve for x
x=-2
Your answers
y=-5
x=-2
(-2,-5)
