Finite Math Examples

- 3 x + y = - 9

$- 3 x + y = - 9$ ,

3 x = 9 + y

$3 x = 9 + y$

Step 1

Add

3 x

$3 x$ to both sides of the equation.

y = - 9 + 3 x

$y = - 9 + 3 x$

3 x = 9 + y

$3 x = 9 + y$

Step 2

Replace all occurrences of

y

$y$ with

- 9 + 3 x

$- 9 + 3 x$ in each equation.

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Step 2.1

Replace all occurrences of

y

$y$ in

3 x = 9 + y

$3 x = 9 + y$ with

- 9 + 3 x

$- 9 + 3 x$ .

3 x = 9 - 9 + 3 x

$3 x = 9 - 9 + 3 x$

y = - 9 + 3 x

$y = - 9 + 3 x$

Step 2.2

Simplify

3 x = 9 - 9 + 3 x

$3 x = 9 - 9 + 3 x$ .

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Step 2.2.1

Simplify the left side.

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Step 2.2.1.1

Remove parentheses.

3 x = 9 - 9 + 3 x

$3 x = 9 - 9 + 3 x$

y = - 9 + 3 x

$y = - 9 + 3 x$

3 x = 9 - 9 + 3 x

$3 x = 9 - 9 + 3 x$

y = - 9 + 3 x

$y = - 9 + 3 x$

Step 2.2.2

Simplify the right side.

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Step 2.2.2.1

Simplify

9 - 9 + 3 x

$9 - 9 + 3 x$ .

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Step 2.2.2.1.1

Subtract

9

$9$ from

9

$9$ .

3 x = 0 + 3 x

$3 x = 0 + 3 x$

y = - 9 + 3 x

$y = - 9 + 3 x$

Step 2.2.2.1.2

Add

0

$0$ and

3 x

$3 x$ .

3 x = 3 x

$3 x = 3 x$

y = - 9 + 3 x

$y = - 9 + 3 x$

3 x = 3 x

$3 x = 3 x$

y = - 9 + 3 x

$y = - 9 + 3 x$

3 x = 3 x

$3 x = 3 x$

y = - 9 + 3 x

$y = - 9 + 3 x$

3 x = 3 x

$3 x = 3 x$

y = - 9 + 3 x

$y = - 9 + 3 x$

3 x = 3 x

$3 x = 3 x$

y = - 9 + 3 x

$y = - 9 + 3 x$

Step 3

Remove any equations from the system that are always true.

y = - 9 + 3 x

$y = - 9 + 3 x$

Step 4

⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

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