Linear Algebra Examples

$140 = (4 x + 30) + y$

Step 1

Rewrite the equation as $4 x + 30 + y = 140$ .

$4 x + 30 + y = 140$

Step 2

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

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Step 2.1

Subtract $4 x$ from both sides of the equation.

$30 + y = 140 - 4 x$

Step 2.2

Subtract $30$ from both sides of the equation.

$y = 140 - 4 x - 30$

Step 2.3

Subtract $30$ from $140$ .

$y = - 4 x + 110$

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