Finite Math Examples

$(- 3, 2)$ , $3 x - 6 y = 2$

Step 1

Insert the values of $x = - 3$ and $y = 2$ into the equation to find if the ordered pair is a solution.

$3 (- 3) - 6 \cdot 2 = 2$

Step 2

Simplify $3 (- 3) - 6 \cdot 2$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Multiply $3$ by $- 3$ .

$- 9 - 6 \cdot 2 = 2$

Step 2.1.2

Multiply $- 6$ by $2$ .

$- 9 - 12 = 2$

Step 2.2

Subtract $12$ from $- 9$ .

$- 21 = 2$

Step 3

Since $- 21 \neq 2$ , there are no solutions.

No solution

Step 4

Since the equation is not true when the values are used, the ordered pair is not a solution.

The ordered pair is not a solution to the equation.