Solve (4a - 1)/7 = (3a + 3)/6 | 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

$$\frac{4a-1}{7}=\frac{3a+3}{6}$$

Solve for a

$a=9$

Steps for Solving Linear Equation

Multiply both sides of the equation by $42$, the least common multiple of $7,6$.

$$6\left(4a-1\right)=7\left(3a+3\right)$$

Use the distributive property to multiply $6$ by $4a-1$.

$$24a-6=7\left(3a+3\right)$$

Use the distributive property to multiply $7$ by $3a+3$.

$$24a-6=21a+21$$

Subtract $21a$ from both sides.

$$24a-6-21a=21$$

Combine $24a$ and $-21a$ to get $3a$.

$$3a-6=21$$

Add $6$ to both sides.

$$3a=21+6$$

Add $21$ and $6$ to get $27$.

$$3a=27$$

Divide both sides by $3$.

$$a=\frac{27}{3}$$

Divide $27$ by $3$ to get $9$.

$$a=9$$