Finite Math Examples

$- 3 x + y = - 9$ , $3 x = 9 + y$

Step 1

Add $3 x$ to both sides of the equation.

$y = - 9 + 3 x$

$3 x = 9 + y$

Step 2

Replace all occurrences of $y$ with $- 9 + 3 x$ in each equation.

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Step 2.1

Replace all occurrences of $y$ in $3 x = 9 + y$ with $- 9 + 3 x$ .

$3 x = 9 - 9 + 3 x$

$y = - 9 + 3 x$

Step 2.2

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

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Step 2.2.1

Simplify the left side.

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Step 2.2.1.1

Remove parentheses.

$3 x = 9 - 9 + 3 x$

$y = - 9 + 3 x$

$3 x = 9 - 9 + 3 x$

$y = - 9 + 3 x$

Step 2.2.2

Simplify the right side.

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Step 2.2.2.1

Simplify $9 - 9 + 3 x$ .

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Step 2.2.2.1.1

Subtract $9$ from $9$ .

$3 x = 0 + 3 x$

$y = - 9 + 3 x$

Step 2.2.2.1.2

Add $0$ and $3 x$ .

$3 x = 3 x$

$y = - 9 + 3 x$

$3 x = 3 x$

$y = - 9 + 3 x$

$3 x = 3 x$

$y = - 9 + 3 x$

$3 x = 3 x$

$y = - 9 + 3 x$

$3 x = 3 x$

$y = - 9 + 3 x$

Step 3

Remove any equations from the system that are always true.

$y = - 9 + 3 x$

Step 4