Question

What is the result of isolating y2 in the equation below? 9x2 + 7y2 = 42

Answer 1

First, move 9x^2 to the right:

7y^2 = 42 - 9x^2

Then, divide 7 on both sides:

y^2 = 6 - 9/7 * x^2

Answer 2

Isolating a variable involves changing the subject of the equation.

The result of isolating y^2 is: $\mathbf{y^2 = \frac{42 - 9x^2}7}$

The equation is given as:

$\mathbf{9x^2 + 7y^2 = 42}$

Subtract 9x^2 from both sides

$\mathbf{7y^2 = 42 - 9x^2}$

Divide through by 7

$\mathbf{y^2 = \frac{42 - 9x^2}7}$

Hence, the result of isolating y^2 is: $\mathbf{y^2 = \frac{42 - 9x^2}7}$

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