Question

Y = –3x 6 y = 9 what is the solution to the system of equations? (–21, 9) (9, –21) (–1, 9) (9, –1)

Answer 1

If the equation is y = -3x+6 and y=9, substitute 9 for y then solve for x.

9 = -3x + 6 (subtract 6 from both sides)
3 = -3x (divide each side by -3)
-1 = x

(-1,9) is the solution.

Answer 2

we have

The system of equations

`y=-3x+6` -------> equation
`1`

`y=9` -------> equation
`2`

Substitute equation
`2` in equation
`1`

`9=-3x+6`

subtract
`6` both sides

`9-6=-3x+6-6`

`3=-3x`

Divide by
`-3` both sides

`x=-1`

the solution is the point
`(-1,9)`

therefore

the answer is

the solution to the system of equations is the point
`(-1,9)`