Question

Solve the system by substitution
y= -5x-10
y= -10x

Answer 1

(x, y) = (2, -20)

Explanation:

To solve the system of equations:

y = -5x - 10

y = -10x

We can substitute the second equation into the first equation for y and get:

-10x = -5x - 10

Solving for x, we get:

-10x + 5x = -10

-5x = -10

x = 2

Now that we know x = 2, we can substitute this value back into one of the original equations to solve for y. Using the second equation, we get:

y = -10(2)

y = -20

Therefore, the solution to the system of equations is (x, y) = (2, -20).