Solve for y
y=\frac{20+5x-x^{2}}{3}
Solve for x (complex solution)
x=\frac{\sqrt{105-12y}+5}{2}
x=\frac{-\sqrt{105-12y}+5}{2}
Solve for x
x=\frac{\sqrt{105-12y}+5}{2}
x=\frac{-\sqrt{105-12y}+5}{2}\text{, }y\leq \frac{35}{4}
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-5x+3y=20-x^{2}
Subtract x^{2} from both sides.
3y=20-x^{2}+5x
Add 5x to both sides.
3y=20+5x-x^{2}
The equation is in standard form.
\frac{3y}{3}=\frac{20+5x-x^{2}}{3}
Divide both sides by 3.
y=\frac{20+5x-x^{2}}{3}
Dividing by 3 undoes the multiplication by 3.