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