Linear Algebra Examples

$y + 5 = 2 (x + 2)$

Step 1

Simplify $2 (x + 2)$ .

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Step 1.1

Rewrite.

$y + 5 = 0 + 0 + 2 (x + 2)$

Step 1.2

Simplify by adding zeros.

$y + 5 = 2 (x + 2)$

Step 1.3

Apply the distributive property.

$y + 5 = 2 x + 2 \cdot 2$

Step 1.4

Multiply $2$ by $2$ .

$y + 5 = 2 x + 4$

Step 2

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

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Step 2.1

Subtract $5$ from both sides of the equation.

$y = 2 x + 4 - 5$

Step 2.2

Subtract $5$ from $4$ .

$y = 2 x - 1$

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