Algebra Examples

$y = - \frac{5}{3} x + 9$ $y = 9$

Step 1

Eliminate the equal sides of each equation and combine.

$- \frac{5}{3} x + 9 = 9$

Step 2

Solve $- \frac{5}{3} x + 9 = 9$ for $x$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Combine $x$ and $\frac{5}{3}$ .

$- \frac{x \cdot 5}{3} + 9 = 9$

Step 2.1.2

Move $5$ to the left of $x$ .

$- \frac{5 x}{3} + 9 = 9$

Step 2.2

Move all terms not containing $x$ to the right side of the equation.

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Step 2.2.1

Subtract $9$ from both sides of the equation.

$- \frac{5 x}{3} = 9 - 9$

Step 2.2.2

Subtract $9$ from $9$ .

$- \frac{5 x}{3} = 0$

Step 2.3

Set the numerator equal to zero.

$5 x = 0$

Step 2.4

Divide each term in $5 x = 0$ by $5$ and simplify.

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Step 2.4.1

Divide each term in $5 x = 0$ by $5$ .

$\frac{5 x}{5} = \frac{0}{5}$

Step 2.4.2

Simplify the left side.

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Step 2.4.2.1

Cancel the common factor of $5$ .

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Step 2.4.2.1.1

Cancel the common factor.

$\frac{5 x}{5} = \frac{0}{5}$

Step 2.4.2.1.2

Divide $x$ by $1$ .

$x = \frac{0}{5}$

Step 2.4.3

Simplify the right side.

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Step 2.4.3.1

Divide $0$ by $5$ .

$x = 0$

Step 3

Substitute $0$ for $x$ .

$y = 9$

Step 4

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

$(0, 9)$

Step 5

The result can be shown in multiple forms.

Point Form:

$(0, 9)$

Equation Form:

$x = 0, y = 9$

Step 6