Question

Find the solution(s) to the system of equations. Select all that apply.
y = x - 4
y = -2x - 5

Answer 1

Answer:

$( - \frac{1}{3} , - \frac{13}{3} )$

Step-by-step explanation:

The given system is

y = x - 4

y = -2x - 5

To solve this system, we equate both equations to get:

$x - 4 = - 2x - 5$

$x + 2x = - 5 + 4$

$3x = - 1$

Divide both sides by 3 to get:

$x = - \frac{1}{3}$

We substitute the value of x into the top equation to get:

$y = - \frac{1}{3} - 4$

$y = - \frac{1}{3} - \frac{12}{3} = - \frac{13}{3}$