Verified Answer :

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.

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 \((-1,9)\)