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 $(-1,9)$