Algebra Examples

$2 x - 2 y = 5 x - 4 y$

Step 1

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

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Step 1.1

Add $4 y$ to both sides of the equation.

$2 x - 2 y + 4 y = 5 x$

Step 1.2

Add $- 2 y$ and $4 y$ .

$2 x + 2 y = 5 x$

Step 2

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

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Step 2.1

Subtract $2 x$ from both sides of the equation.

$2 y = 5 x - 2 x$

Step 2.2

Subtract $2 x$ from $5 x$ .

$2 y = 3 x$

Step 3

Divide each term in $2 y = 3 x$ by $2$ and simplify.

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Step 3.1

Divide each term in $2 y = 3 x$ by $2$ .

$\frac{2 y}{2} = \frac{3 x}{2}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $2$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{2 y}{2} = \frac{3 x}{2}$

Step 3.2.1.2

Divide $y$ by $1$ .

$y = \frac{3 x}{2}$

Step 4

To rewrite as a function of $x$ , write the equation so that $y$ is by itself on one side of the equal sign and an expression involving only $x$ is on the other side.

$f (x) = \frac{3 x}{2}$