Solve by the linear combination method (with or without multiplication).

Question

4x-5y =-18
3x + 2y =-2

Answer 1

Eq1: 4X - 5Y = -18
Eq2: 3X + 2Y = -2
Multiply Eq1 by -3 and Eq2 by 4:
-12X + 15Y = 54
12X + 8Y = -8
Add the 2 Eqs and get:
23Y = 46,
Y = 46 / 23 = 2.
Substitute 2 for Y in Eq2:
3X + 2*2 = -2,
3X + 4 = -2,
3X = -6,
X = -2.

Solution Set = (-2 , 2).