Solve the system of equations.
4x−8y=−36
−6x+y=32 (1 point)
(
,
)
To solve the system of equations, we can use substitution or elimination method.
Using substitution method, we can start by solving one equation for one variable and substitute it into the other equation.
From the second equation, we solve for y:
-6x + y = 32
y = 6x + 32
Now we substitute this expression for y into the first equation:
4x - 8y = -36
4x - 8(6x + 32) = -36
4x - 48x - 256 = -36
-44x - 256 = -36
-44x = 220
x = -5
Now we substitute this value of x into the expression for y:
y = 6x + 32
y = 6(-5) + 32
y = -30 + 32
y = 2
So the solution to the system of equations is:
(x, y) = (-5, 2)