Solve the following system using substitution. What is the solution to the given system?

Question

y = −4x −1 and 2y + 2 = −12x


=

−
4


−
1






2


+

2

=

−
12
(1 point)
Responses

Answer 1

To solve this system using substitution, we can start by rearranging the first equation to solve for y:

y = -4x - 1

Now we can substitute this expression for y in the second equation:

2(-4x - 1) + 2 = -12x

Now we can simplify and solve for x:

-8x - 2 + 2 = -12x

-8x = -12x

4x = 0

x = 0

Now we can substitute this value of x back into the first equation to find y:

y = -4(0) - 1

y = -1

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