Linear Algebra Examples

$11 x = 2 y - 5$

Step 1

Rewrite the equation as $2 y - 5 = 11 x$ .

$2 y - 5 = 11 x$

Step 2

Add $5$ to both sides of the equation.

$2 y = 11 x + 5$

Step 3

Divide each term in $2 y = 11 x + 5$ by $2$ and simplify.

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Step 3.1

Divide each term in $2 y = 11 x + 5$ by $2$ .

$\frac{2 y}{2} = \frac{11 x}{2} + \frac{5}{2}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $2$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{2 y}{2} = \frac{11 x}{2} + \frac{5}{2}$

Step 3.2.1.2

Divide $y$ by $1$ .

$y = \frac{11 x}{2} + \frac{5}{2}$

Step 4

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 5