Solve (y - 1)/3 - (y - 2)/4 = 1 | 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

$$\frac{y-1}{3}-\frac{y-2}{4}=1$$

Solve for y

$y=10$

Steps for Solving Linear Equation

Multiply both sides of the equation by $12$, the least common multiple of $3,4$.

$$4\left(y-1\right)-3\left(y-2\right)=12$$

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

$$4y-4-3\left(y-2\right)=12$$

Use the distributive property to multiply $-3$ by $y-2$.

$$4y-4-3y+6=12$$

Combine $4y$ and $-3y$ to get $y$.

$$y-4+6=12$$

Add $-4$ and $6$ to get $2$.

$$y+2=12$$

Subtract $2$ from both sides.

$$y=12-2$$

Subtract $2$ from $12$ to get $10$.

$$y=10$$