Precalculus Examples

$7 x^{2} - y^{2} - 7 = 9$

Step 1

Move all terms not containing a variable to the right side of the equation.

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Step 1.1

Add $7$ to both sides of the equation.

$7 x^{2} - y^{2} = 9 + 7$

Step 1.2

Add $9$ and $7$ .

$7 x^{2} - y^{2} = 16$

Step 2

Divide each term by $16$ to make the right side equal to one.

$\frac{7 x^{2}}{16} - \frac{y^{2}}{16} = \frac{16}{16}$

Step 3

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 $1$ .

$\frac{x^{2}}{\frac{16}{7}} - \frac{y^{2}}{16} = 1$