Solve 1 - 5x + 3x + yx = 18 | 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

$$1-5x+3x+yx=18$$

Solve for x

$x=\frac{17}{y-2}$
$y\neq 2$

Steps for Solving Linear Equation

Combine $-5x$ and $3x$ to get $-2x$.

$$1-2x+yx=18$$

Subtract $1$ from both sides.

$$-2x+yx=18-1$$

Subtract $1$ from $18$ to get $17$.

$$-2x+yx=17$$

Combine all terms containing $x$.

$$\left(-2+y\right)x=17$$

The equation is in standard form.

$$\left(y-2\right)x=17$$

Divide both sides by $-2+y$.

$$\frac{\left(y-2\right)x}{y-2}=\frac{17}{y-2}$$

Dividing by $-2+y$ undoes the multiplication by $-2+y$.

$$x=\frac{17}{y-2}$$

Solve for y

$y=2+\frac{17}{x}$
$x\neq 0$

Steps for Solving Linear Equation

Combine $-5x$ and $3x$ to get $-2x$.

$$1-2x+yx=18$$

Subtract $1$ from both sides.

$$-2x+yx=18-1$$

Subtract $1$ from $18$ to get $17$.

$$-2x+yx=17$$

Add $2x$ to both sides.

$$yx=17+2x$$

The equation is in standard form.

$$xy=2x+17$$

Divide both sides by $x$.

$$\frac{xy}{x}=\frac{2x+17}{x}$$

Dividing by $x$ undoes the multiplication by $x$.

$$y=\frac{2x+17}{x}$$

Divide $17+2x$ by $x$.

$$y=2+\frac{17}{x}$$