Pre-Algebra Examples

$4 x + (\frac{1}{3}) y = 2$

Step 1

The standard form of a linear equation is $A x + B y = C$ .

Step 2

Multiply both sides by $3$ .

$3 (4 x + \frac{1}{3} y) = 3 \cdot 2$

Step 3

Simplify the left side.

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Step 3.1

Simplify $3 (4 x + \frac{1}{3} y)$ .

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Step 3.1.1

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

$3 (4 x + \frac{y}{3}) = 3 \cdot 2$

Step 3.1.2

Apply the distributive property.

$3 (4 x) + 3 \frac{y}{3} = 3 \cdot 2$

Step 3.1.3

Multiply $4$ by $3$ .

$12 x + 3 \frac{y}{3} = 3 \cdot 2$

Step 3.1.4

Cancel the common factor of $3$ .

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Step 3.1.4.1

Cancel the common factor.

$12 x + 3 \frac{y}{3} = 3 \cdot 2$

Step 3.1.4.2

Rewrite the expression.

$12 x + y = 3 \cdot 2$

$12 x + y = 3 \cdot 2$

$12 x + y = 3 \cdot 2$

$12 x + y = 3 \cdot 2$

Step 4

Simplify the right side.

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Step 4.1

Multiply $3$ by $2$ .

$12 x + y = 6$

$12 x + y = 6$

Step 5

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