Question

what is the solution to the system of equations? y =1/3 x – 10 2x y = 4 (–8, 6) (–6, 16) (6, –8) (16, –6)

Answer 1

y = 1/3 x - 10
2x + y = 4
2x + 1/3 x - 10 = 4
7/3 x = 14
x = 6
y = 1/3(6) - 10 = 2 - 10 = -8
Therefore solution is (6, -8)

Answer 2

Option C is correct.

Solution to the given system of equation is (6 , -8)

Explanation:

Given the system of equation:

`y= (1)/(3) x-10` ......[1]

`2x+y =4` .....[2]

Substitute the equation [1] in [2] we get;

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

Combine like terms;

`(7)/(3)x -10 =4`

Add 10 to both side of an equation:

`(7)/(3)x -10 +10=4+10`

Simplify:

`(7)/(3)x =14`

Divide both sides by
`(3)/(7)` we get;

`(3)/(7) * (7)/(3)x = 14 * (3)/(7)`

Simplify:

x = 6

Substitute the value of x =6 in equation [1] we get;

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

or

`y= 2-10`

Simplify:

y = - 8

therefore, the solution to the given system of equation is; (6 , -8)

You can also see in the graph as shown below: