Question

Solve the following system using a substitution what is the solution to the given system y = -4x - 1 and 2y + 2 = -12x

Answer 1

To solve the system using substitution, we will start by solving one equation for one variable, and then substituting that expression into the other equation.

Given equations:
1) y = -4x - 1
2) 2y + 2 = -12x

Let's solve equation 1) for y:
y = -4x - 1

Now, substitute this expression into equation 2):
2(-4x - 1) + 2 = -12x

Simplify the equation:
-8x - 2 + 2 = -12x
-8x = -12x

Now, let's solve for x:
-8x + 12x = 0
4x = 0
x = 0

Substitute this value of x into equation 1) to find y:
y = -4(0) - 1
y = -1

The solution to the given system is x = 0 and y = -1.