Algebra Examples

Evaluate $\frac{3}{2} y - 3 + \frac{5}{3} z$ when $y = 6$ and $z = 3$

Step 1

Replace the variable $y$ with $6$ in the expression.

$\frac{3}{2} \cdot (6) - 3 + \frac{5}{3} z$

Step 2

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

$\frac{3}{2} \cdot (6) - 3 + \frac{5}{3} \cdot (3)$

Step 3

Simplify each term.

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Step 3.1

Cancel the common factor of $2$ .

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Step 3.1.1

Factor $2$ out of $6$ .

$\frac{3}{2} \cdot (2 (3)) - 3 + \frac{5}{3} \cdot (3)$

Step 3.1.2

Cancel the common factor.

$\frac{3}{2} \cdot (2 \cdot 3) - 3 + \frac{5}{3} \cdot (3)$

Step 3.1.3

Rewrite the expression.

$3 \cdot 3 - 3 + \frac{5}{3} \cdot (3)$

Step 3.2

Multiply $3$ by $3$ .

$9 - 3 + \frac{5}{3} \cdot (3)$

Step 3.3

Cancel the common factor of $3$ .

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Step 3.3.1

Cancel the common factor.

$9 - 3 + \frac{5}{3} \cdot 3$

Step 3.3.2

Rewrite the expression.

$9 - 3 + 5$

Step 4

Simplify by adding and subtracting.

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Step 4.1

Subtract $3$ from $9$ .

$6 + 5$

Step 4.2

Add $6$ and $5$ .

$11$