Pre-Algebra Examples

$x + y = 3.5$

Step 1

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

Step 2

Change $3.5$ into a fraction.

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Step 2.1

Multiply by $\frac{10}{10}$ to remove the decimal.

$x + y = \frac{10 \cdot 3.5}{10}$

Step 2.2

Multiply $10$ by $3.5$ .

$x + y = \frac{35}{10}$

Step 2.3

Cancel the common factor of $35$ and $10$ .

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Step 2.3.1

Factor $5$ out of $35$ .

$x + y = \frac{5 (7)}{10}$

Step 2.3.2

Cancel the common factors.

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Step 2.3.2.1

Factor $5$ out of $10$ .

$x + y = \frac{5 \cdot 7}{5 \cdot 2}$

Step 2.3.2.2

Cancel the common factor.

$x + y = \frac{5 \cdot 7}{5 \cdot 2}$

Step 2.3.2.3

Rewrite the expression.

$x + y = \frac{7}{2}$

Step 3

Multiply both sides by $2$ .

$2 (x + y) = 2 (\frac{7}{2})$

Step 4

Simplify the left side.

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Step 4.1

Apply the distributive property.

$2 x + 2 y = 2 (\frac{7}{2})$

Step 5

Simplify the right side.

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Step 5.1

Cancel the common factor of $2$ .

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Step 5.1.1

Cancel the common factor.

$2 x + 2 y = 2 (\frac{7}{2})$

Step 5.1.2

Rewrite the expression.

$2 x + 2 y = 7$

Step 6