Answer:
For x: [tex]x = \frac{-1}{3}y +10[/tex]
For y: [tex]y = -3x +30[/tex]
Step-by-step explanation:
If you want to solve the equation for x, then perform these steps:
[tex]Y-21 = -3 (x-3)[/tex]
[tex]\frac{y-21}{-3} = x - 3[/tex] Divide between (-3) on both sides of the equation
[tex]\frac{-1}{3}(y-21) +3 = x[/tex] Sum 3 on both sides of the equation [tex]x = \frac{-1}{3}(Y-21) +3\\\\x = \frac{-1}{3}y+\frac{21}{3} + 3\\\\x = \frac{-1}{3}y +10[/tex]
If you want to solve the equation for y, then perform these steps:
[tex]y-21 = -3(x-3)[/tex]
[tex]y = -3(x-3) +21[/tex] Sum 21 on both sides of the equation
[tex]y = -3x+9+21\\y = -3x +30[/tex]