Linear Algebra Examples

$\frac{N}{M} = \frac{7}{T}$

Step 1

Multiply both sides by $M$ .

$\frac{N}{M} M = \frac{7}{T} M$

Step 2

Simplify.

Tap for more steps...

Step 2.1

Simplify the left side.

Tap for more steps...

Step 2.1.1

Cancel the common factor of $M$ .

Tap for more steps...

Step 2.1.1.1

Cancel the common factor.

$\frac{N}{M} M = \frac{7}{T} M$

Step 2.1.1.2

Rewrite the expression.

$N = \frac{7}{T} M$

Step 2.2

Simplify the right side.

Tap for more steps...

Step 2.2.1

Combine $\frac{7}{T}$ and $M$ .

$N = \frac{7 M}{T}$

Step 3

Set the denominator in $\frac{7 M}{T}$ equal to $0$ to find where the expression is undefined.

$T = 0$

Step 4

The domain is all values of $M$ that make the expression defined.

Interval Notation:

$(- \infty, 0) \cup (0, \infty)$

Set-Builder Notation:

${M | M \neq 0}$