Algebra Examples

$2 x^{2} + 3 y^{2} = 7$

Divide each term by $7$ to make the right side equal to one.

$\frac{2 x^{2}}{7} + \frac{3 y^{2}}{7} = \frac{7}{7}$

Simplify each term in the equation in order to set the right side equal to $1$ . The standard form of an ellipse or hyperbola requires the right side of the equation be $1$ .

$\frac{x^{2}}{\frac{7}{2}} + \frac{y^{2}}{\frac{7}{3}} = 1$

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