Solve (7y + 4)/(y + 2) = - 4/3 | 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

$$\frac{7y+4}{y+2}=\frac{-4}{3}$$

Solve for y

$y=-\frac{4}{5}=-0.8$

Steps for Solving Linear Equation

Variable $y$ cannot be equal to $-2$ since division by zero is not defined. Multiply both sides of the equation by $3\left(y+2\right)$, the least common multiple of $y+2,3$.

$$3\left(7y+4\right)=\left(y+2\right)\left(-4\right)$$

Use the distributive property to multiply $3$ by $7y+4$.

$$21y+12=\left(y+2\right)\left(-4\right)$$

Use the distributive property to multiply $y+2$ by $-4$.

$$21y+12=-4y-8$$

Add $4y$ to both sides.

$$21y+12+4y=-8$$

Combine $21y$ and $4y$ to get $25y$.

$$25y+12=-8$$

Subtract $12$ from both sides.

$$25y=-8-12$$

Subtract $12$ from $-8$ to get $-20$.

$$25y=-20$$

Divide both sides by $25$.

$$y=\frac{-20}{25}$$

Reduce the fraction $\frac{-20}{25}$ to lowest terms by extracting and canceling out $5$.

$$y=-\frac{4}{5}$$