x = 1
y=3
EXPLANATION
Given:
-4x - 5y = -19 ---------------------------------------------(1)
9x - 2y = 3 ---------------------------------------------(2)
Using elimination method,
Multiply through equation (1) by 2 and equation (2) by 5
-8x - 10y = -38 ----------------------------------------------(3)
45x - 10y = 15 -----------------------------------------------(4)
Subtract equation (3) from equation (4).
53x = 53
Divide both-side of the equation by 53
x = 1
Substitute x = 1 into equation (2) and solve for y.
9(1) - 2y = 3
9 - 2y = 3
2y = 9 - 3
2y = 6
Divide both-side of the equation by 2
y = 3
