Answer:
[tex]( - \frac{1}{3} , - \frac{13}{3} )[/tex]
Step-by-step explanation:
The given system is
y = x - 4
y = -2x - 5
To solve this system, we equate both equations to get:
[tex]x - 4 = - 2x - 5[/tex]
[tex]x + 2x = - 5 + 4[/tex]
[tex]3x = - 1[/tex]
Divide both sides by 3 to get:
[tex]x = - \frac{1}{3} [/tex]
We substitute the value of x into the top equation to get:
[tex]y = - \frac{1}{3} - 4[/tex]
[tex]y = - \frac{1}{3} - \frac{12}{3} = - \frac{13}{3} [/tex]
