Question

Find the solution of this system of equations
-2y = 48 + 6x
-6x + 9y = -84

Answer 1

-2y = 48 + 6x
-6x - 2y = 48 ——(1)

-6x + 9y = -84
-6x = -84 -9y ——(2)

Substitute (2) into (1):
(-84 -9y) -2y = 48
-84 -9y -2y = 48
-84 -11y = 48
-11y = 48 + 84
-11y = 132
y = - 12

Substitute y = -12 into (1):
-6x -2(-12) = 48
-6x + 24 = 48
-6x = 48 -24
-6x = 24
X = -4

ANS : y= -12, x= -4