Question

Solve the system by substitution.
y, equals, minus, 7, x, minus, 30
y=
−7x−30
y, equals, 8, x
y=
8x

Answer 1

The system of equations is:

y = -7x - 30
y = 8x

We can solve this system by substitution.

Since both equations are already solved for y, we can set them equal to each other:

-7x - 30 = 8x

To solve for x, we can combine like terms:

-7x - 8x = 30

-15x = 30

Dividing both sides by -15:

x = -2

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

y = 8x
y = 8(-2)
y = -16

Therefore, the solution to the system of equations is x = -2 and y = -16.