Basic Math Examples

325 x + 385 y = 12575

$325 x + 385 y = 12575$

Step 1

Subtract

385 y

$385 y$ from both sides of the equation.

325 x = 12575 - 385 y

$325 x = 12575 - 385 y$

Step 2

Divide each term in

325 x = 12575 - 385 y

$325 x = 12575 - 385 y$ by

325

$325$ and simplify.

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Step 2.1

Divide each term in

325 x = 12575 - 385 y

$325 x = 12575 - 385 y$ by

325

$325$ .

\frac{325 x}{325} = \frac{12575}{325} + \frac{- 385 y}{325}

$\frac{325 x}{325} = \frac{12575}{325} + \frac{- 385 y}{325}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of

325

$325$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{325 x}{325} = \frac{12575}{325} + \frac{- 385 y}{325}$

Step 2.2.1.2

Divide

$x$ by

$1$ .

$x = \frac{12575}{325} + \frac{- 385 y}{325}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Simplify each term.

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Step 2.3.1.1

Cancel the common factor of

$12575$ and

$325$ .

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Step 2.3.1.1.1

Factor

$25$ out of

$12575$ .

$x = \frac{25 (503)}{325} + \frac{- 385 y}{325}$

Step 2.3.1.1.2

Cancel the common factors.

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Step 2.3.1.1.2.1

Factor

$25$ out of

$325$ .

$x = \frac{25 \cdot 503}{25 \cdot 13} + \frac{- 385 y}{325}$

Step 2.3.1.1.2.2

Cancel the common factor.

$x = \frac{25 \cdot 503}{25 \cdot 13} + \frac{- 385 y}{325}$

Step 2.3.1.1.2.3

Rewrite the expression.

$x = \frac{503}{13} + \frac{- 385 y}{325}$

Step 2.3.1.2

Cancel the common factor of

$- 385$ and

$325$ .

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Step 2.3.1.2.1

Factor

$5$ out of

$- 385 y$ .

$x = \frac{503}{13} + \frac{5 (- 77 y)}{325}$

Step 2.3.1.2.2

Cancel the common factors.

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Step 2.3.1.2.2.1

Factor

$5$ out of

$325$ .

$x = \frac{503}{13} + \frac{5 (- 77 y)}{5 (65)}$

Step 2.3.1.2.2.2

Cancel the common factor.

$x = \frac{503}{13} + \frac{5 (- 77 y)}{5 \cdot 65}$

Step 2.3.1.2.2.3

Rewrite the expression.

$x = \frac{503}{13} + \frac{- 77 y}{65}$

Step 2.3.1.3

Move the negative in front of the fraction.

$x = \frac{503}{13} - \frac{77 y}{65}$