Finite Math Examples

$A - B = B - A$

Step 1

Solve the equation for $A$ .

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Step 1.1

Move all terms containing $A$ to the left side of the equation.

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Step 1.1.1

Add $A$ to both sides of the equation.

$A - B + A = B$

Step 1.1.2

Add $A$ and $A$ .

$2 A - B = B$

Step 1.2

Move all terms not containing $A$ to the right side of the equation.

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Step 1.2.1

Add $B$ to both sides of the equation.

$2 A = B + B$

Step 1.2.2

Add $B$ and $B$ .

$2 A = 2 B$

Step 1.3

Divide each term in $2 A = 2 B$ by $2$ and simplify.

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Step 1.3.1

Divide each term in $2 A = 2 B$ by $2$ .

$\frac{2 A}{2} = \frac{2 B}{2}$

Step 1.3.2

Simplify the left side.

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Step 1.3.2.1

Cancel the common factor of $2$ .

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Step 1.3.2.1.1

Cancel the common factor.

$\frac{2 A}{2} = \frac{2 B}{2}$

Step 1.3.2.1.2

Divide $A$ by $1$ .

$A = \frac{2 B}{2}$

Step 1.3.3

Simplify the right side.

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Step 1.3.3.1

Cancel the common factor of $2$ .

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Step 1.3.3.1.1

Cancel the common factor.

$A = \frac{2 B}{2}$

Step 1.3.3.1.2

Divide $B$ by $1$ .

$A = B$

Step 2

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be $0$ or $1$ for each of its variables. In this case, the degree of variable $A$ is $1$ and the degree of variable $B$ is $1$ .

Linear