Let's solve your system by elimination.
8x+y=−16;3x−y=5
8x+y=−16
3x−y=5
Add these equations to eliminate y:
11x=−11
Then solve: 11x=−11 for x:
11x=−11
11x
11
=
−11
11
(Divide both sides by 11)
x=−1
Now that we've found x let's plug it back in to solve for y.
Write down an original equation:
8x+y=−16
Substitute: −1 for x in 8x+y=−16:
(8)(−1)+y=−16
y−8=−16(Simplify both sides of the equation)
y−8+8=−16+8(Add 8 to both sides)
y=−8
Answer:
x=−1 and y=−8
