Question

What is the solution to the system of equations below?

y=-1/3x+6
and x = -6
(-6,8)
(-6,4)
(8,-6)
(4, -6)

Answer 1

(-6,8) is the answer using substitution method.

Explanation:

y= (-1/3)(-6)+6

y= 2+6

y=8, x=-6

=(-6,8)

Answer 2

The solution to this system of equations is
`(x,y) = (-6, 8)`.

Explanation:

Since the number of equations and number of variables is the same, there is only one solution. Let
`y = -(1)/(3)\cdot x + 6` and
`x = -6`, the solution of this system is found by evaluating the first function, that is:

`y = -(1)/(3)\cdot (-6)+6`

`y = 2+6`

`y = 8`

The solution to this system of equations is
`(x,y) = (-6, 8)`.