Question

Find the solution(s) to the system of equations. Select all that apply.

y = x - 4
y = -2x - 5

Answer 1

`( - (1)/(3) , - (13)/(3) )`

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 = - (1)/(3)`

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

`y = - (1)/(3) - 4`

`y = - (1)/(3) - (12)/(3) = - (13)/(3)`