Question

Solve for x eliminate y

Answer 1

Answer:

x = - 6

Step-by-step explanation:

given the 2 equations

3x + 5y = - 13 → (1)

2x - 3y = - 15 → (2)

To eliminate y from the equations we require their coefficients to be equal so that when we add the equations y is eliminated

multiply equation (1) by 3 and equation (2) by 5

9x + 15y = - 39 → (3)

10x - 15y = - 75 → (4)

add (3) and (4) term by term

(9x + 10x) + (15y - 15y) = (-39 - 75 )

19x = - 114 ( divide both sides by 19 )

x = - 6

To find y substitute x = - 6 into either (1) or (2)