Algebra Examples

Evaluate

\frac{3 x + 2 y}{2 x y}

$\frac{3 x + 2 y}{2 x y}$ when

x = - 1

$x = - 1$ and

y = 1

$y = 1$

Step 1

Replace the variable

x

$x$ with

- 1

$- 1$ in the expression.

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

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

Step 2

Replace the variable

y

$y$ with

1

$1$ in the expression.

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

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

Step 3

Simplify the numerator.

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Step 3.1

Multiply

3

$3$ by

- 1

$- 1$ .

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

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

Step 3.2

Multiply

2

$2$ by

1

$1$ .

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

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

Step 3.3

Add

- 3

$- 3$ and

2

$2$ .

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

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

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

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

Step 4

Simplify the denominator.

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Step 4.1

Multiply

2

$2$ by

- 1

$- 1$ .

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

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

Step 4.2

Multiply

- 2

$- 2$ by

1

$1$ .

\frac{- 1}{- 2}

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

\frac{- 1}{- 2}

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

Step 5

Dividing two negative values results in a positive value.

\frac{1}{2}

$\frac{1}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\frac{1}{2}

$\frac{1}{2}$

Decimal Form:

0.5

$0.5$

[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$