Question

1. determine the solution to the equation.

$\frac{1}{8}(128 - 20w)=0.4(-6.25w + 50)$
no solution
$w = 7.2$
$w=-0.8$

Explanation:

Step1: Expand both sides

First, expand $\frac{1}{8}(128 - 20w)$ and $0.4(-6.25w + 50)$.
$\frac{1}{8}\times128-\frac{1}{8}\times20w=16 - 2.5w$ and $0.4\times(-6.25w)+0.4\times50=-2.5w + 20$.
So the equation becomes $16 - 2.5w=-2.5w + 20$.

Step2: Try to solve for w

Add $2.5w$ to both sides of the equation:
$16 - 2.5w+2.5w=-2.5w + 20+2.5w$.
This simplifies to $16 = 20$, which is a false statement.

Answer:

no solution