Question

What is the solution to the system of equations below?

y=-1/3x+6 and y=1/3x-6

no solution
infinitely many solutions
(–18, 12)
(18, 0)

Answer 1

(18,0)

Explanation:

Answer 2

The solution is the point (18,0)

Explanation:

we have

`y=-(1)/(3)x+6` -----> equation A

`y=(1)/(3)x-6` -----> equation B

Solve the system by substitution

substitute equation B in equation A

`(1)/(3)x-6=-(1)/(3)x+6`

solve for x

Adds (1/3)x both sides

`(1)/(3)x-6+(1)/(3)x=6`

`(2)/(3)x-6=6`

Adds 6 both sides

`(2)/(3)x=6+6`

`(2)/(3)x=12`

`x=12(3)/2\\x=18`

Find the value of y

substitute the value of x in equation A or equation B

`y=-(1)/(3)(18)+6=0`

therefore

The solution is the point (18,0)