Basic Math Examples

$3550 = a (12) + s (7)$

Step 1

Rewrite the equation as $a (12) + s (7) = 3550$ .

$a (12) + s (7) = 3550$

Step 2

Simplify each term.

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Step 2.1

Move $12$ to the left of $a$ .

$12 a + s (7) = 3550$

Step 2.2

Move $7$ to the left of $s$ .

$12 a + 7 s = 3550$

Step 3

Subtract $7 s$ from both sides of the equation.

$12 a = 3550 - 7 s$

Step 4

Divide each term in $12 a = 3550 - 7 s$ by $12$ and simplify.

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Step 4.1

Divide each term in $12 a = 3550 - 7 s$ by $12$ .

$\frac{12 a}{12} = \frac{3550}{12} + \frac{- 7 s}{12}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $12$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{12 a}{12} = \frac{3550}{12} + \frac{- 7 s}{12}$

Step 4.2.1.2

Divide $a$ by $1$ .

$a = \frac{3550}{12} + \frac{- 7 s}{12}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Simplify each term.

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Step 4.3.1.1

Cancel the common factor of $3550$ and $12$ .

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Step 4.3.1.1.1

Factor $2$ out of $3550$ .

$a = \frac{2 (1775)}{12} + \frac{- 7 s}{12}$

Step 4.3.1.1.2

Cancel the common factors.

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Step 4.3.1.1.2.1

Factor $2$ out of $12$ .

$a = \frac{2 \cdot 1775}{2 \cdot 6} + \frac{- 7 s}{12}$

Step 4.3.1.1.2.2

Cancel the common factor.

$a = \frac{2 \cdot 1775}{2 \cdot 6} + \frac{- 7 s}{12}$

Step 4.3.1.1.2.3

Rewrite the expression.

$a = \frac{1775}{6} + \frac{- 7 s}{12}$

Step 4.3.1.2

Move the negative in front of the fraction.

$a = \frac{1775}{6} - \frac{7 s}{12}$