Question

What is the solution to the system of equations?

y = 1/3x - 10
2x + y = 4
A) (-8,6)
B) (-6, 16)
C) (6,-8)
D) (16, -6)​

Answer 1

C) (6,-8)

Step-by-step explanation

The equations are:

`y = (1)/(3)x - 10`

and

`2x+y=4`

We substitute the first equation into the second equation to get:

`2x + (1)/(3)x - 10 = 4`

We multiply through by 3 to get:

`6x + x - 30= 12`

Group similar terms,

`6x + x = 30 + 12`

`7x = 42`

Divide both sides by 7 to get,

`x = (42)/(7) = 6`

Put this value of x into the first equation to get;

`y = (1)/(3) (6) - 10`

`y = 2 - 10 = - 8`