Finite Math Examples

$4 x - 2 y = 0$ , $8 x + 7 y$

Step 1

Add $2 y$ to both sides of the equation.

$4 x = 2 y$

Step 2

Divide each term in $4 x = 2 y$ by $4$ and simplify.

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Step 2.1

Divide each term in $4 x = 2 y$ by $4$ .

$\frac{4 x}{4} = \frac{2 y}{4}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $4$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{4 x}{4} = \frac{2 y}{4}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x = \frac{2 y}{4}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Cancel the common factor of $2$ and $4$ .

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Step 2.3.1.1

Factor $2$ out of $2 y$ .

$x = \frac{2 (y)}{4}$

Step 2.3.1.2

Cancel the common factors.

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Step 2.3.1.2.1

Factor $2$ out of $4$ .

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

Step 2.3.1.2.2

Cancel the common factor.

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

Step 2.3.1.2.3

Rewrite the expression.

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

Step 3

Replace the variable $x$ with $\frac{y}{2}$ in the expression.

$8 (\frac{y}{2}) + 7 y$

Step 4

Cancel the common factor of $2$ .

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Step 4.1

Factor $2$ out of $8$ .

$2 (4) \frac{y}{2} + 7 y$

Step 4.2

Cancel the common factor.

$2 \cdot 4 \frac{y}{2} + 7 y$

Step 4.3

Rewrite the expression.

$4 y + 7 y$

Step 5

Add $4 y$ and $7 y$ .

$11 y$