(m+3)/(n-2)=(4)/(5) for n

Name: Problem 355, Chapter 8: Elementary Algebra
Uploaded: 2021-07-23T19:58:06-08:00
Duration: 1 min 13 s
Channel: Sherrie Fenner
Description: (m+3)/(n-2)=(4)/(5) for n

step 1 m plus 3 divided by n minus 2 equals 4 over 5 so we're solving 4 n which is in the denominator s

Question

$$ \frac{m+3}{n-2}=\frac{4}{5} \text { for } n $$

   $$
\frac{m+3}{n-2}=\frac{4}{5} \text { for } n
$$

Elementary Algebra

Lynn Marecek 2nd Edition

Chapter 8, Problem 355

Instant Answer

Solved by Expert Sherrie Fenner

07/23/2021

Step 1

This gives us: $$ 4(n-2) = 5(m+3) $$ Show more…

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$$ \frac{m+3}{n-2}=\frac{4}{5} \text { for } n $$

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Key Concepts

Cross Multiplication

Cross multiplication is a method used to solve equations that involve proportions or fractions. It involves multiplying the numerator of one fraction by the denominator of the other and setting these products equal, thereby eliminating the fractional form and simplifying the equation.

Variable Isolation

Variable isolation is the process of rearranging an equation so that the unknown variable stands alone on one side. This technique involves applying inverse operations such as addition, subtraction, multiplication, or division to both sides of the equation, and is a fundamental step in solving linear equations.

Rational Equations

A rational equation is an equation where the expressions involved are ratios of polynomials. Solving such equations involves handling fractions and ensuring that any denominators do not equal zero, which is critical for the solutions to be valid.

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