Solve the following system using substitution. What is the solution to the given system?
y = −4x −1 and 2y + 2 = −12x
Starting with the first equation, y = -4x - 1, we can substitute this expression for y in the second equation:
2(-4x - 1) + 2 = -12x
Simplifying the equation:
-8x - 2 + 2 = -12x
-8x = -12x
Dividing both sides by -4:
2x = 0
Solving for x:
x = 0
Now substitute this value of x back into the first equation:
y = -4(0) - 1
y = 0 - 1
y = -1
Thus, the solution to the given system is x = 0 and y = -1.