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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 7: Q. 7.80 (page 692)

Solve: $m = \frac{y - 5}{x - 4}$ for $y$ .

Short Answer

Expert verified

The solution is $y = m x - 4 m + 5$ .

Step by step solution

01

Step 1. Given

The given equation is: $m = \frac{y - 5}{x - 4}$ .

02

Step 2. To find

We have to solve the equation for $y$ .

03

Step 3. Calculation

Cross multiply and solve the equation.

$m = \frac{y - 5}{x - 4} m (x - 4) = y - 5 m x - 4 m = y - 5 y = m x - 4 m + 5$

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Most popular questions from this chapter

Simplify the rational expression $\frac{36 v^{3} w^{2}}{27 v w^{3}} .$

For the following exercises, find $R (x) = f (x) g (x)$ where $f (x) a n d g (x)$ are given.

$f (x) = \frac{x^{2} - 2 x}{x^{2} + 6 x - 16} a n d g (x) = \frac{x^{2} - 64}{x^{2} - 8 x}$

In the following exercise, perform the indicated operation:

$\frac{3}{2 x^{2} + 5 x + 2} - \frac{1}{2 x^{2} + 3 x + 1}$

Solve each rational function inequality and write the solution in interval notation. Given the function $R (x) = \frac{(x + 1)}{(x - 4)},$ find the values of x that make the function less than or equal to 0.

Solve the rational equation $\frac{3}{x} - \frac{5}{y} = \frac{1}{4}$ for the variable y.

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