Algebra Examples

$y = - 4 x$ $y = - 5 x + 5$

Step 1

Eliminate the equal sides of each equation and combine.

$- 4 x = - 5 x + 5$

Step 2

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

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Step 2.1

Add $5 x$ to both sides of the equation.

$- 4 x + 5 x = 5$

Step 2.2

Add $- 4 x$ and $5 x$ .

$x = 5$

Step 3

Evaluate $y$ when $x = 5$ .

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Step 3.1

Substitute $5$ for $x$ .

$y = - 5 \cdot 5 + 5$

Step 3.2

Substitute $5$ for $x$ in $y = - 5 \cdot 5 + 5$ and solve for $y$ .

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Step 3.2.1

Remove parentheses.

$y = - 5 \cdot 5 + 5$

Step 3.2.2

Simplify $- 5 \cdot 5 + 5$ .

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Step 3.2.2.1

Multiply $- 5$ by $5$ .

$y = - 25 + 5$

Step 3.2.2.2

Add $- 25$ and $5$ .

$y = - 20$

Step 4

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

$(5, - 20)$

Step 5

The result can be shown in multiple forms.

Point Form:

$(5, - 20)$

Equation Form:

$x = 5, y = - 20$

Step 6