ANSWER
C) (6,-8)
EXPLANATION
The equations are:
[tex]y = \frac{1}{3}x - 10[/tex]
and
[tex]2x+y=4[/tex]
We substitute the first equation into the second equation to get:
[tex]2x + \frac{1}{3}x - 10 = 4[/tex]
We multiply through by 3 to get:
[tex]6x + x - 30= 12[/tex]
Group similar terms,
[tex]6x + x = 30 + 12[/tex]
[tex]7x = 42[/tex]
Divide both sides by 7 to get,
[tex]x = \frac{42}{7} = 6[/tex]
Put this value of x into the first equation to get;
[tex]y = \frac{1}{3} (6) - 10[/tex]
[tex]y = 2 - 10 = - 8[/tex]
