Algebra Examples

Evaluate $\frac{3 x + 2 y}{2 x y}$ when $x = - 1$ and $y = 1$

Step 1

Replace the variable $x$ with $- 1$ in the expression.

$\frac{3 (- 1) + 2 y}{2 (- 1) \cdot y}$

Step 2

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

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

Step 3

Simplify the numerator.

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Step 3.1

Multiply $3$ by $- 1$ .

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

Step 3.2

Multiply $2$ by $1$ .

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

Step 3.3

Add $- 3$ and $2$ .

$\frac{- 1}{2 (- 1) \cdot 1}$

Step 4

Simplify the denominator.

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Step 4.1

Multiply $2$ by $- 1$ .

$\frac{- 1}{- 2 \cdot 1}$

Step 4.2

Multiply $- 2$ by $1$ .

$\frac{- 1}{- 2}$

Step 5

Dividing two negative values results in a positive value.

$\frac{1}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2}$

Decimal Form:

$0.5$