How to solve a/p - b/p = c

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve a/p - b/p = c | Equatix

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

Unit Circle

Graphing Trigonometric Functions

Limits & Continuity

Derivatives & Applications

Integrals & Applications

Series & Sequences

Multivariable Calculus

Functions & Graphs

Polynomial & Rational Functions

Exponential & Logarithmic Functions

Conic Sections

Sequences & Series

Descriptive Statistics

Eigenvalues & Eigenvectors

Linear Transformations

Example

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

a⋅(b-2)=3b

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

a⋅(b-2)=3b

Question

$$\frac{a}{p}-\frac{b}{p}=c$$

Solve for a

$a=cp+b$
$p\neq 0$

Show Solution

Solve for b

$b=a-cp$
$p\neq 0$

Steps for Solving Linear Equation

Multiply both sides of the equation by $p$.

$$a-b=cp$$

Subtract $a$ from both sides.

$$-b=cp-a$$

Divide both sides by $-1$.

$$\frac{-b}{-1}=\frac{cp-a}{-1}$$

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

$$b=\frac{cp-a}{-1}$$

Divide $cp-a$ by $-1$.

$$b=a-cp$$

Show Solution

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Example

Question

Solve for a

Solution Steps

Solve for b

Steps for Solving Linear Equation