Answer:
y = 8 and x = -6
Step-by-step explanation:
5x + 6y = 18 ------------ (1)
2x - 3y = 12 ------------- (2)
we have to cut out the x to find value of y
so, multiply equation (1) by 2 and equation (2) by 5
then we get,
10x + 12y = 36 ---------- (3)
10x - 15y = 60 ---------- (4)
substract equation (4) from (3)
we get,
-3y = -24
so,
= 3y = 24
= y = 24/3
y = 8
put value of y in equation (1)
5x × 6 (8) = 18
= 5x × 48 = 18
= 5x = 18 - 48
= 5x = -30
= x = -30/5
x = -6