Algebra Examples

$y = 3 x - 6$ $\frac{1}{3} y = x - 2$

Step 1

Multiply both sides of the equation by $3$ .

$3 (\frac{1}{3} y) = 3 (x - 2)$

$y = 3 x - 6$

Step 2

Simplify both sides of the equation.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify $3 (\frac{1}{3} y)$ .

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Step 2.1.1.1

Combine $\frac{1}{3}$ and $y$ .

$3 (\frac{y}{3}) = 3 (x - 2)$

$y = 3 x - 6$

Step 2.1.1.2

Cancel the common factor of $3$ .

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Step 2.1.1.2.1

Cancel the common factor.

$3 (\frac{y}{3}) = 3 (x - 2)$

$y = 3 x - 6$

Step 2.1.1.2.2

Rewrite the expression.

$y = 3 (x - 2)$

$y = 3 x - 6$

$y = 3 (x - 2)$

$y = 3 x - 6$

$y = 3 (x - 2)$

$y = 3 x - 6$

$y = 3 (x - 2)$

$y = 3 x - 6$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $3 (x - 2)$ .

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Step 2.2.1.1

Apply the distributive property.

$y = 3 x + 3 \cdot - 2$

$y = 3 x - 6$

Step 2.2.1.2

Multiply $3$ by $- 2$ .

$y = 3 x - 6$

Step 3

Create a graph to locate the intersection of the equations. The intersection of the system of equations is the solution.

Step 4

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$y = 3 x - 6, \frac{1}{3} y = x - 2$

Step 5