Question

Solve using elimination.
8x + y = –1
–3x − y = –4

Answer 1

x=−1 and y=7

Explanation:

Add these equations to eliminate y: 5x=−5

Then solve 5x=−5 for x:

5x=−5

5x/5=−5/5 (Divide both sides by 5)

x=−1

Write down an original equation: 8x+y=−1

Substitute −1 for x in 8x+y=−1: (8)(−1)+y=−1

y−8=−1 (Simplify both sides of the equation)

y−8+8=−1+8 (Add 8 to both sides)

y=7