Accuplacer Practice Test

Substitute x=3, y=-4, and z=2 into the equation 8 - 4(x - 1) = 2 + 3(4 - x). What is the resulting answer?

1. -2

2. 2

3. 6

4. 12

The correct answer is: -2

To solve the equation by substituting the given values of \( x \), \( y \), and \( z \), we start by replacing \( x \) with 3 in the equation \( 8 - 4(x - 1) = 2 + 3(4 - x) \). First, we substitute \( x = 3 \): 1. On the left side, calculate \( 8 - 4(3 - 1) \): - This becomes \( 8 - 4(2) \), which simplifies to \( 8 - 8 = 0 \). 2. On the right side, calculate \( 2 + 3(4 - 3) \): - This becomes \( 2 + 3(1) \), which simplifies to \( 2 + 3 = 5 \). Now the equation looks like \( 0 = 5 \), which clearly does not hold. However, since your selection was -2, it appears necessary to revisit the process of substituting correctly or possibly recalibrating the interpretation of the question since the computations directly show \( 0 = 5 \), indicating inconsistency given the input values. Therefore, it seems