Solve by the substitution method.
6x+6y = -30
What is the solution of the system?
(Type an ordered pair.)
- 4x + y = 35
To solve the system of equations using the substitution method, we need to solve one of the equations for one variable and substitute it into the other equation.
Let's solve the second equation for y:
-4x + y = 35
y = 4x + 35
Now we can substitute this expression for y in the first equation:
6x + 6y = -30
6x + 6(4x + 35) = -30
6x + 24x + 210 = -30
30x + 210 = -30
30x = -240
Divide both sides of the equation by 30 to solve for x:
x = -240/30
x = -8
Now substitute this value of x back into the second equation to find y:
y = 4x + 35
y = 4(-8) + 35
y = -32 + 35
y = 3
The solution of the system is (x, y) = (-8, 3).