Finite Math Examples

$6 x - 5 y = 10$

Step 1

Add $5 y$ to both sides of the equation.

$6 x = 10 + 5 y$

Step 2

Divide each term in $6 x = 10 + 5 y$ by $6$ and simplify.

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Step 2.1

Divide each term in $6 x = 10 + 5 y$ by $6$ .

$\frac{6 x}{6} = \frac{10}{6} + \frac{5 y}{6}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $6$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{6 x}{6} = \frac{10}{6} + \frac{5 y}{6}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x = \frac{10}{6} + \frac{5 y}{6}$

$x = \frac{10}{6} + \frac{5 y}{6}$

$x = \frac{10}{6} + \frac{5 y}{6}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Cancel the common factor of $10$ and $6$ .

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Step 2.3.1.1

Factor $2$ out of $10$ .

$x = \frac{2 (5)}{6} + \frac{5 y}{6}$

Step 2.3.1.2

Cancel the common factors.

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Step 2.3.1.2.1

Factor $2$ out of $6$ .

$x = \frac{2 \cdot 5}{2 \cdot 3} + \frac{5 y}{6}$

Step 2.3.1.2.2

Cancel the common factor.

$x = \frac{2 \cdot 5}{2 \cdot 3} + \frac{5 y}{6}$

Step 2.3.1.2.3

Rewrite the expression.

$x = \frac{5}{3} + \frac{5 y}{6}$

$x = \frac{5}{3} + \frac{5 y}{6}$

$x = \frac{5}{3} + \frac{5 y}{6}$

$x = \frac{5}{3} + \frac{5 y}{6}$

$x = \frac{5}{3} + \frac{5 y}{6}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$