Finite Math Examples

$5 x + 9 y + 10 = 100$

Step 1

Move all terms not containing $x$ to the right side of the equation.

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Step 1.1

Subtract $9 y$ from both sides of the equation.

$5 x + 10 = 100 - 9 y$

Step 1.2

Subtract $10$ from both sides of the equation.

$5 x = 100 - 9 y - 10$

Step 1.3

Subtract $10$ from $100$ .

$5 x = - 9 y + 90$

Step 2

Divide each term in $5 x = - 9 y + 90$ by $5$ and simplify.

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Step 2.1

Divide each term in $5 x = - 9 y + 90$ by $5$ .

$\frac{5 x}{5} = \frac{- 9 y}{5} + \frac{90}{5}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $5$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{5 x}{5} = \frac{- 9 y}{5} + \frac{90}{5}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 9 y}{5} + \frac{90}{5}$

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

Move the negative in front of the fraction.

$x = - \frac{9 y}{5} + \frac{90}{5}$

Step 2.3.1.2

Divide $90$ by $5$ .

$x = - \frac{9 y}{5} + 18$