Linear Algebra Examples

$9 x + 8 y = 29$

Step 1

Subtract $9 x$ from both sides of the equation.

$8 y = 29 - 9 x$

Step 2

Divide each term in $8 y = 29 - 9 x$ by $8$ and simplify.

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Step 2.1

Divide each term in $8 y = 29 - 9 x$ by $8$ .

$\frac{8 y}{8} = \frac{29}{8} + \frac{- 9 x}{8}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $8$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{8 y}{8} = \frac{29}{8} + \frac{- 9 x}{8}$

Step 2.2.1.2

Divide $y$ by $1$ .

$y = \frac{29}{8} + \frac{- 9 x}{8}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Move the negative in front of the fraction.

$y = \frac{29}{8} - \frac{9 x}{8}$

Step 3

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

$(- \infty, \infty)$

Set-Builder Notation:

${x | x \in ℝ}$

Step 4