Question

Solve using substitution.

y = –6x + 5
y = –x − 5

Answer 1

Since both equations are equal to y, we can set them equal to each other and solve for x:

-6x + 5 = -x - 5

Next, we can simplify by combining like terms:

-6x + x = -5 - 5

This simplifies to:

-5x + 5 = -10

Now, we can subtract 5 from both sides of the equation:

-5x = -15

Finally, we can divide both sides by -5 to solve for x:

x = 3

Now that we have found the value of x, we can substitute it back into either of the original equations to solve for y. Let's use the first equation:

y = -6(3) + 5
y = -18 + 5
y = -13

Therefore, the solution to the system of equations is x = 3 and y = -13.