Linear Algebra Examples

- x + 4 y = 4

$- x + 4 y = 4$

Step 1

Add

x

$x$ to both sides of the equation.

4 y = 4 + x

$4 y = 4 + x$

Step 2

Divide each term in

4 y = 4 + x

$4 y = 4 + x$ by

4

$4$ and simplify.

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Step 2.1

Divide each term in

4 y = 4 + x

$4 y = 4 + x$ by

4

$4$ .

\frac{4 y}{4} = \frac{4}{4} + \frac{x}{4}

$\frac{4 y}{4} = \frac{4}{4} + \frac{x}{4}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of

4

$4$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{4 y}{4} = \frac{4}{4} + \frac{x}{4}$

Step 2.2.1.2

Divide

$y$ by

$1$ .

$y = \frac{4}{4} + \frac{x}{4}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide

$4$ by

$4$ .

$y = 1 + \frac{x}{4}$

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