The problem asks us to evaluate four expressions, given $x=2$ and $z=6$. The expressions are: 1. $\frac{12}{z} - x$

1. Problem Description

The problem asks us to evaluate four expressions, given $x=2$ and $z=6$. The expressions are:

1. $\frac{12}{z} - x$

2. $21 - xz$

3. $\frac{12x}{z}$

4. $x + 10 - z$

2. Solution Steps

1. Evaluate $\frac{12}{z} - x$:

Substitute $x=2$ and $z=6$ into the expression.

$\frac{12}{z} - x = \frac{12}{6} - 2 = 2 - 2 = 0$

2. Evaluate $21 - xz$:

Substitute $x=2$ and $z=6$ into the expression.

$21 - xz = 21 - (2)(6) = 21 - 12 = 9$

3. Evaluate $\frac{12x}{z}$:

Substitute $x=2$ and $z=6$ into the expression.

$\frac{12x}{z} = \frac{12(2)}{6} = \frac{24}{6} = 4$

4. Evaluate $x + 10 - z$:

Substitute $x=2$ and $z=6$ into the expression.

$x + 10 - z = 2 + 10 - 6 = 12 - 6 = 6$

3. Final Answer

1. $\frac{12}{z} - x = 0$

2. $21 - xz = 9$

3. $\frac{12x}{z} = 4$

4. $x + 10 - z = 6$