Question

Solve using substitution.

y = –7x − 1
y = –6x − 2

Answer 1

Since both equations are already given in terms of y, we can set them equal to each other:

-7x - 1 = -6x - 2

Now we can solve for x:

-7x + 6x = -2 -1
-x = -3

To isolate x, we multiply both sides of the equation by -1:

x = 3

Now we can substitute this value of x back into one of the original equations to solve for y. Let's use the second equation:

y = -6(3) - 2
y = -18 - 2
y = -20

Therefore, the solution to the system of equations is x = 3 and y = -20.