Algebra Examples

$y = 8 x$ $y = 5 x$

Step 1

Eliminate the equal sides of each equation and combine.

$8 x = 5 x$

Step 2

Solve $8 x = 5 x$ 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

Subtract $5 x$ from both sides of the equation.

$8 x - 5 x = 0$

Step 2.1.2

Subtract $5 x$ from $8 x$ .

$3 x = 0$

Step 2.2

Divide each term in $3 x = 0$ by $3$ and simplify.

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Step 2.2.1

Divide each term in $3 x = 0$ by $3$ .

$\frac{3 x}{3} = \frac{0}{3}$

Step 2.2.2

Simplify the left side.

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Step 2.2.2.1

Cancel the common factor of $3$ .

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Step 2.2.2.1.1

Cancel the common factor.

$\frac{3 x}{3} = \frac{0}{3}$

Step 2.2.2.1.2

Divide $x$ by $1$ .

$x = \frac{0}{3}$

Step 2.2.3

Simplify the right side.

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Step 2.2.3.1

Divide $0$ by $3$ .

$x = 0$

Step 3

Evaluate $y$ when $x = 0$ .

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Step 3.1

Substitute $0$ for $x$ .

$y = 5 (0)$

Step 3.2

Multiply $5$ by $0$ .

$y = 0$

Step 4

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

$(0, 0)$

Step 5

The result can be shown in multiple forms.

Point Form:

$(0, 0)$

Equation Form:

$x = 0, y = 0$

Step 6