Chapter 8: Q. 348 (page 983)

In the following exercises, solve.
$\frac{x + 5}{2 - y} = \frac{4}{3} f o r y$

Short Answer

Expert verified

The solution is $- \frac{3 x - 9}{4} = y .$

Step by step solution

Step 1. Given Information.

The given equation is $\frac{x + 5}{2 - y} = \frac{4}{3} f o r y .$

Step 2. Solve

To solve the equation, clear the fractions by multiplying both sides of the equations by the LCD, $2 - y$

role="math" localid="1647854220068" $\frac{x + 5}{2 - y} \times (2 - y) = \frac{4}{3} \times (2 - y) x + 5 = \frac{8}{3} - \frac{4}{3} y x + 5 - \frac{8}{3} = - \frac{4}{3} y$

Now, multiply both sides by $- \frac{3}{4}$ to isolate y

$x + 5 - \frac{8}{3} = - \frac{4}{3} y \frac{3 x + 15 - 24}{3} = - \frac{4}{3} y \frac{3 x + 15 - 24}{3} \times (- \frac{3}{4}) = - \frac{4}{3} y \times (- \frac{3}{4}) - \frac{3 x - 9}{4} = y$

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In the following exercises, solve.
$\frac{x + 5}{2 - y} = \frac{4}{3} f o r y$

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Solve

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In the following exercises, solve.
$\frac{x + 5}{2 - y} = \frac{4}{3} f o r y$