Trigonometry Examples

$\frac{3 x + 2 y + z}{x + y + z}$ , $x = 2$ , $y = 3$ , $z = 1$

Solve for $x$ in the first equation.

$x = 2$

$y = 3$

$z = 1$

Replace the variable $x$ with $2$ in the expression.

$\frac{3 (2) + 2 y + z}{(2) + y + z}$

Replace the variable $y$ with $3$ in the expression.

$\frac{3 (2) + 2 (3) + z}{2 + 3 + z}$

Replace the variable $z$ with $1$ in the expression.

$\frac{3 (2) + 2 (3) + 1}{2 + 3 + 1}$

Remove parentheses.

$\frac{3 (2) + 2 (3) + 1}{2 + 3 + 1}$

Simplify the numerator.

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Multiply $3$ by $2$ to get $6$ .

$\frac{6 + 2 (3) + 1}{2 + 3 + 1}$

Multiply $2$ by $3$ to get $6$ .

$\frac{6 + 6 + 1}{2 + 3 + 1}$

Add $6$ and $6$ to get $12$ .

$\frac{12 + 1}{2 + 3 + 1}$

Add $12$ and $1$ to get $13$ .

$\frac{13}{2 + 3 + 1}$

Simplify the denominator.

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Remove parentheses.

$\frac{13}{(2) + (3) + (1)}$

Remove parentheses.

$\frac{13}{2 + 3 + (1)}$

Remove parentheses.

$\frac{13}{2 + 3 + 1}$

Add $2$ and $3$ to get $5$ .

$\frac{13}{5 + 1}$

Add $5$ and $1$ to get $6$ .

$\frac{13}{6}$

The result can be shown in both exact and decimal forms.

Exact Form:

$\frac{13}{6}$

Decimal Form:

$2.1\overline{6}$

Mixed Number Form:

$2 \frac{1}{6}$

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