Pre-Algebra Examples

$y = 3 x - 1$ , $y = - 3 x - 1$ , $x = 3$

Step 1

Replace all occurrences of $x$ with $3$ in each equation.

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Step 1.1

Replace all occurrences of $x$ in $y = 3 x - 1$ with $3$ .

$y = 3 (3) - 1$

$x = 3$

$y = - 3 x - 1$

Step 1.2

Simplify the right side.

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Step 1.2.1

Simplify $3 (3) - 1$ .

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Step 1.2.1.1

Multiply $3$ by $3$ .

$y = 9 - 1$

$x = 3$

$y = - 3 x - 1$

Step 1.2.1.2

Subtract $1$ from $9$ .

$y = 8$

$x = 3$

$y = - 3 x - 1$

$y = 8$

$x = 3$

$y = - 3 x - 1$

$y = 8$

$x = 3$

$y = - 3 x - 1$

Step 1.3

Replace all occurrences of $x$ in $y = - 3 x - 1$ with $3$ .

$y = - 3 \cdot 3 - 1$

$y = 8$

$x = 3$

Step 1.4

Simplify the right side.

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Step 1.4.1

Simplify $- 3 \cdot 3 - 1$ .

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Step 1.4.1.1

Multiply $- 3$ by $3$ .

$y = - 9 - 1$

$y = 8$

$x = 3$

Step 1.4.1.2

Subtract $1$ from $- 9$ .

$y = - 10$

$y = 8$

$x = 3$

$y = - 10$

$y = 8$

$x = 3$

$y = - 10$

$y = 8$

$x = 3$

$y = - 10$

$y = 8$

$x = 3$

Step 2

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

$(3, 8)$

Step 3

The result can be shown in multiple forms.

Point Form:

$(3, 8)$

Equation Form:

$x = 3, y = 8$

Step 4