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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 7: Q. 7.82 (page 692)

Solve: $m = \frac{y - 1}{x + 5}$ for $y .$

Short Answer

Expert verified

The solution is $y = m x + 5 m + 1$ .

Step by step solution

01

Step 1. Given

The given equation is: $m = \frac{y - 1}{x + 5}$

02

Step 2. To find

We have to solve the equation for y.

03

Step 3. Calculation

Cross multiply and solve the equation.

$m = \frac{y - 1}{x + 5} m (x + 5) = y - 1 m x + 5 m = y - 1 y = m x + 5 m + 1$

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Most popular questions from this chapter

Divide $\frac{y^{2} - 16}{4} \div \frac{y^{3} - 64}{2 y^{2} + 8 y + 32}$

Simplify the complex rational expression by writing it as a division:

$\frac{\frac{2}{x^{2} - 1}}{\frac{3}{x + 1}}$

Simplify the complex rational expression by writing it as division:

$\frac{\frac{1}{x^{2} - 7 x + 12}}{\frac{2}{x - 4}}$

In the following exercise, perform the indicated operation:

$\frac{2 q}{q + 5} + \frac{3}{q - 3} - \frac{13 q + 15}{q^{2} + 2 q - 15}$

The distance a moving body travels, $d$ , varies directly with the time, $t$ , it moves. The train travels 100 miles in 2 hours.

Write the equation that relates $d a n d t$ .
How many miles would it travel in 5 hours?

See all solutions

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