Solve 2400 / (y / 150) - 80 = 520 | 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

$$2400:(y:150)-80=520$$

Solve for y

$y=600$

Steps for Solving Linear Equation

Divide $2400$ by $\frac{y}{150}$ by multiplying $2400$ by the reciprocal of $\frac{y}{150}$.

$$\frac{2400\times 150}{y}-80=520$$

Multiply $2400$ and $150$ to get $360000$.

$$\frac{360000}{y}-80=520$$

To add or subtract expressions, expand them to make their denominators the same. Multiply $80$ times $\frac{y}{y}$.

$$\frac{360000}{y}-\frac{80y}{y}=520$$

Since $\frac{360000}{y}$ and $\frac{80y}{y}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{360000-80y}{y}=520$$

Variable $y$ cannot be equal to $0$ since division by zero is not defined. Multiply both sides of the equation by $y$.

$$360000-80y=520y$$

Subtract $520y$ from both sides.

$$360000-80y-520y=0$$

Combine $-80y$ and $-520y$ to get $-600y$.

$$360000-600y=0$$

Subtract $360000$ from both sides. Anything subtracted from zero gives its negation.

$$-600y=-360000$$

Divide both sides by $-600$.

$$y=\frac{-360000}{-600}$$

Divide $-360000$ by $-600$ to get $600$.

$$y=600$$