Linear Algebra Examples

$2 y = 3 x$

Step 1

Divide each term in $2 y = 3 x$ by $2$ and simplify.

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Step 1.1

Divide each term in $2 y = 3 x$ by $2$ .

$\frac{2 y}{2} = \frac{3 x}{2}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $2$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{2 y}{2} = \frac{3 x}{2}$

Step 1.2.1.2

Divide $y$ by $1$ .

$y = \frac{3 x}{2}$

Step 2

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 3