How do you solve the system of equations #-5x + 9y = 18# and #-3x+2y = 21#?

1 Answer
Apr 26, 2016

# x= -9 ; y= -3#

Explanation:

# -5x+9y =18# (1)
# -3x+2y =21# (2) Multiplying equation (1) by 3 and equation (2) by 5 we get # -15x+27y =54# (3)
# -15x+10y =105#(4) Now subtracting equation (4) from (3) we get #17y= -51 or y = -3 :. 3x=2*(-3)-21=-6-21=-27 or x= -9#[Ans]