Finite Math Examples

$x = y - 2$ , $- 3 x + 3 y = 6$

Step 1

Replace all occurrences of $x$ with $y - 2$ in each equation.

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Step 1.1

Replace all occurrences of $x$ in $- 3 x + 3 y = 6$ with $y - 2$ .

$- 3 (y - 2) + 3 y = 6$

$x = y - 2$

Step 1.2

Simplify the left side.

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Step 1.2.1

Simplify $- 3 (y - 2) + 3 y$ .

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Step 1.2.1.1

Simplify each term.

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Step 1.2.1.1.1

Apply the distributive property.

$- 3 y - 3 \cdot - 2 + 3 y = 6$

$x = y - 2$

Step 1.2.1.1.2

Multiply $- 3$ by $- 2$ .

$- 3 y + 6 + 3 y = 6$

$x = y - 2$

$- 3 y + 6 + 3 y = 6$

$x = y - 2$

Step 1.2.1.2

Combine the opposite terms in $- 3 y + 6 + 3 y$ .

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Step 1.2.1.2.1

Add $- 3 y$ and $3 y$ .

$0 + 6 = 6$

$x = y - 2$

Step 1.2.1.2.2

Add $0$ and $6$ .

$6 = 6$

$x = y - 2$

$6 = 6$

$x = y - 2$

$6 = 6$

$x = y - 2$

$6 = 6$

$x = y - 2$

$6 = 6$

$x = y - 2$

Step 2

Remove any equations from the system that are always true.

$x = y - 2$

Step 3