Solve the system of equations by the addition method

{ 5x-y=-3

{ 4x+3y=-48

(-3,-12)

Step-by-step 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