Question

Solve the system of equations by the addition method
{ 5x-y=-3
{ 4x+3y=-48

Answer 1

(-3,-12)

Explanation:

Multiply the first equation by three to match the second equations y-term

• 3(5x-y=-3)
• 4x+3y=-48

• 15x-3y=-9
• 4x+3y=-48

The y-terms cancel out

• 15x=-9
• 4x=-48

Add the x-terms with each other and the terms after the equal sign as well

• 19x=-57

Divide -57 by 19

• x=-3

Input your x-term (-3) into one of the two first equations and multiply

Either:

• 5(-3)-y=-3 or

• 4(-3)+3y=-48

• -15-y=-3 or

• -12+3y=-48

Simplify your terms

• -y=12

• 3y=-36

Divide

• y=-12

• y=-12