Finite Math Examples

$y = 3 x - 17$ , $y = - 3 x - 17$

Step 1

Eliminate the equal sides of each equation and combine.

$3 x - 17 = - 3 x - 17$

Step 2

Solve $3 x - 17 = - 3 x - 17$ for $x$ .

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Step 2.1

Move all terms containing $x$ to the left side of the equation.

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Step 2.1.1

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

$3 x - 17 + 3 x = - 17$

Step 2.1.2

Add $3 x$ and $3 x$ .

$6 x - 17 = - 17$

Step 2.2

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

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Step 2.2.1

Add $17$ to both sides of the equation.

$6 x = - 17 + 17$

Step 2.2.2

Add $- 17$ and $17$ .

$6 x = 0$

Step 2.3

Divide each term in $6 x = 0$ by $6$ and simplify.

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Step 2.3.1

Divide each term in $6 x = 0$ by $6$ .

$\frac{6 x}{6} = \frac{0}{6}$

Step 2.3.2

Simplify the left side.

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Step 2.3.2.1

Cancel the common factor of $6$ .

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Step 2.3.2.1.1

Cancel the common factor.

$\frac{6 x}{6} = \frac{0}{6}$

Step 2.3.2.1.2

Divide $x$ by $1$ .

$x = \frac{0}{6}$

Step 2.3.3

Simplify the right side.

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Step 2.3.3.1

Divide $0$ by $6$ .

$x = 0$

Step 3

Evaluate $y$ when $x = 0$ .

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Step 3.1

Substitute $0$ for $x$ .

$y = - 3 \cdot 0 - 17$

Step 3.2

Substitute $0$ for $x$ in $y = - 3 \cdot 0 - 17$ and solve for $y$ .

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Step 3.2.1

Remove parentheses.

$y = - 3 \cdot 0 - 17$

Step 3.2.2

Simplify $- 3 \cdot 0 - 17$ .

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Step 3.2.2.1

Multiply $- 3$ by $0$ .

$y = 0 - 17$

Step 3.2.2.2

Subtract $17$ from $0$ .

$y = - 17$

Step 4

The solution to the system is the complete set of ordered pairs that are valid solutions.

$(0, - 17)$

Step 5

The result can be shown in multiple forms.

Point Form:

$(0, - 17)$

Equation Form:

$x = 0, y = - 17$

Step 6