Answer:
x= 4 and y =-3
Step-by-step explanation:
To find the pair that is the solution to the system of equations, we will follow the steps below;
y = -1/2 x - 1 -----------------------------------------------------------------------------------(1)
y = -3x + 9 ---------------------------------------------------------------------------------------(2)
substitute equation (1) in equation (2)
-1/2 x - 1 = -3x + 9
collect like term
-[tex]\frac{1}{2}X[/tex] + 3x = 9 + 1
-x+ 6x /2 = 10
5x /2 = 10
multiply both-side of the equation by 2
5x = 20
Divide both-side of the equation by 5
x = 4
substitute x = 4 into equation (2)
y = -3x + 9
y = -3(4) + 9
y = -12 + 9
y = -3
The solution is
x= 4 and y =-3
