By solving the equations by elimination, we get x = -2 and y = 4.
Step-by-step explanation:
Step 1; 4x + 2y = 0, take this as equation 1 and
-4x -9y = -28, take this as equation 2.
Since the coefficient of x in equation 1 is 4 and the coefficient of x in equation 2 is -4, simply adding the two equations, we should be able to eliminate x and solve for y.
Step 2; Adding equation 1 and 2, we get
4x + 2y -4x -9y = 0 - 28,
2y - 9y = -7y = -28,
y = [tex]\frac{-28}{-7}[/tex] = 4.
Substituting the value of y in equation 1 we determine the value of x.
4x + 2y = 4x + (2 × 4) = 0, 4x = -8,
x = [tex]\frac{-8}{4}[/tex] = -2.
So for the given equation, x = -2 and y = 4.
