Solve Sebutan m) m = (1 + n)/(3 - 2n) | Equatix - Math Solver

Fractions & Decimals

Ratios & Proportions

Basic Number Theory

Integers & Absolute Values

Factors & Multiples

Prime Factorization

Basic Equations & Inequalities

Coordinate Plane & Graphing

Linear Equations & Inequalities

Quadratic Equations

Polynomials & Factoring

Functions & Graphs

Systems of Equations

Trigonometric Functions

Trigonometric Identities & Equations

Right Triangle Trigonometry

Graphing Trigonometric Functions

Limits & Continuity

Derivatives & Applications

Integrals & Applications

Series & Sequences

Multivariable Calculus

Functions & Graphs

Polynomial & Rational Functions

Exponential & Logarithmic Functions

Sequences & Series

Descriptive Statistics

Normal Distribution

Hypothesis Testing

Regression Analysis

Linear Programming

Sets & Counting

Eigenvalues & Eigenvectors

Linear Transformations

Atomic Structure

Thermochemistry

Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$m = \frac { 1 + n } { 3 - 2 n }$$

Solve for n

$n=\frac{3m-1}{2m+1}$
$m\neq -\frac{1}{2}$

Steps for Solving Linear Equation

Variable $n$ cannot be equal to $\frac{3}{2}$ since division by zero is not defined. Multiply both sides of the equation by $-2n+3$.

$$m\left(-2n+3\right)=1+n$$

Use the distributive property to multiply $m$ by $-2n+3$.

$$-2mn+3m=1+n$$

Subtract $n$ from both sides.

$$-2mn+3m-n=1$$

Subtract $3m$ from both sides.

$$-2mn-n=1-3m$$

Combine all terms containing $n$.

$$\left(-2m-1\right)n=1-3m$$

Divide both sides by $-2m-1$.

$$\frac{\left(-2m-1\right)n}{-2m-1}=\frac{1-3m}{-2m-1}$$

Dividing by $-2m-1$ undoes the multiplication by $-2m-1$.

$$n=\frac{1-3m}{-2m-1}$$

Divide $1-3m$ by $-2m-1$.

$$n=-\frac{1-3m}{2m+1}$$

Variable $n$ cannot be equal to $\frac{3}{2}$.

$$n=-\frac{1-3m}{2m+1}\text{, }n\neq \frac{3}{2}$$

Solve for m

$m=\frac{n+1}{3-2n}$
$n\neq \frac{3}{2}$