Algebra Examples

$x = - 4$ $y = \frac{1}{2} x + 7$

Step 1

Replace all occurrences of $x$ with $- 4$ in each equation.

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Step 1.1

Replace all occurrences of $x$ in $y = \frac{1}{2} x + 7$ with $- 4$ .

$y = \frac{1}{2} \cdot (- 4) + 7$

$x = - 4$

Step 1.2

Simplify the right side.

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Step 1.2.1

Simplify $\frac{1}{2} \cdot (- 4) + 7$ .

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Step 1.2.1.1

Cancel the common factor of $2$ .

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Step 1.2.1.1.1

Factor $2$ out of $- 4$ .

$y = \frac{1}{2} \cdot (2 (- 2)) + 7$

$x = - 4$

Step 1.2.1.1.2

Cancel the common factor.

$y = \frac{1}{2} \cdot (2 \cdot - 2) + 7$

$x = - 4$

Step 1.2.1.1.3

Rewrite the expression.

$y = - 2 + 7$

$x = - 4$

$y = - 2 + 7$

$x = - 4$

Step 1.2.1.2

Add $- 2$ and $7$ .

$y = 5$

$x = - 4$

$y = 5$

$x = - 4$

$y = 5$

$x = - 4$

$y = 5$

$x = - 4$

Step 2

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

$(- 4, 5)$

Step 3

The result can be shown in multiple forms.

Point Form:

$(- 4, 5)$

Equation Form:

$x = - 4, y = 5$

Step 4