Respuesta :

gloriastudies
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.
calculista

we have

The system of equations

[tex] y=-3x+6 [/tex] -------> equation [tex] 1 [/tex]

[tex] y=9 [/tex] -------> equation [tex] 2 [/tex]

Substitute equation [tex] 2 [/tex] in equation [tex] 1 [/tex]

[tex] 9=-3x+6 [/tex]

subtract [tex] 6 [/tex] both sides

[tex] 9-6=-3x+6-6 [/tex]

[tex] 3=-3x [/tex]

Divide by [tex] -3 [/tex] both sides

[tex] x=-1 [/tex]

the solution is the point [tex] (-1,9) [/tex]

therefore

the answer is

the solution to the system of equations is the point [tex] (-1,9) [/tex]


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