Solve for y
y=-\frac{7x^{2}}{18}+28
Solve for x (complex solution)
x=-\frac{3\sqrt{392-14y}}{7}
x=\frac{3\sqrt{392-14y}}{7}
Solve for x
x=\frac{3\sqrt{392-14y}}{7}
x=-\frac{3\sqrt{392-14y}}{7}\text{, }y\leq 28
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7x^{2}+9\times 2y=504
Multiply both sides of the equation by 63, the least common multiple of 9,7.
7x^{2}+18y=504
Multiply 9 and 2 to get 18.
18y=504-7x^{2}
Subtract 7x^{2} from both sides.
\frac{18y}{18}=\frac{504-7x^{2}}{18}
Divide both sides by 18.
y=\frac{504-7x^{2}}{18}
Dividing by 18 undoes the multiplication by 18.
y=-\frac{7x^{2}}{18}+28
Divide 504-7x^{2} by 18.
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