Algebra Examples

$y = - 4$ $y = x - 8$

Step 1

Eliminate the equal sides of each equation and combine.

$- 4 = x - 8$

Step 2

Solve $- 4 = x - 8$ for $x$ .

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Step 2.1

Rewrite the equation as $x - 8 = - 4$ .

$x - 8 = - 4$

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 $8$ to both sides of the equation.

$x = - 4 + 8$

Step 2.2.2

Add $- 4$ and $8$ .

$x = 4$

Step 3

Evaluate $y$ when $x = 4$ .

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Step 3.1

Substitute $4$ for $x$ .

$y = (4) - 8$

Step 3.2

Substitute $4$ for $x$ in $y = (4) - 8$ and solve for $y$ .

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Step 3.2.1

Remove parentheses.

$y = 4 - 8$

Step 3.2.2

Remove parentheses.

$y = (4) - 8$

Step 3.2.3

Subtract $8$ from $4$ .

$y = - 4$

Step 4

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

$(4, - 4)$

Step 5

The result can be shown in multiple forms.

Point Form:

$(4, - 4)$

Equation Form:

$x = 4, y = - 4$

Step 6