Question

what is the value of $3x + 3(xy - z)$ when $x = 4$, $y = -2$, and $z = -3$?

○ 0
○ -3
○ 6
○ 3

Explanation:

Step1: Substitute the values

Substitute \( x = 4 \), \( y = -2 \), and \( z = -3 \) into the expression \( 3x + 3(xy - z) \).
We get \( 3\times4 + 3(4\times(-2) - (-3)) \).

Step2: Simplify inside the parentheses

First, calculate the expression inside the parentheses: \( 4\times(-2) - (-3) = -8 + 3 = -5 \).

Step3: Multiply and add

Now, calculate the two terms: \( 3\times4 = 12 \) and \( 3\times(-5) = -15 \).
Then add them together: \( 12 + (-15) = 12 - 15 = -3 \).

Answer:

-3 (corresponding to the option with -3)