Question

1 multiple choice 4 points what is the value of x when 4x - 1 = 5x + 3? 4/9 2 2/9 -4 2 multiple choice 4 points what is the value of a when 0.5a = 2a + 3? -2 2 3 3/4

Explanation:

Step1: Isolate x - terms for first equation

\[

$$\begin{align*} 4x-1&=5x + 3\\ 4x-5x&=3 + 1 \end{align*}$$

\]

Step2: Simplify first - equation

\(-x=4\), so \(x=-4\)

Step3: Isolate a - terms for second equation

\[

$$\begin{align*} 0.5a&=2a + 3\\ 0.5a-2a&=3 \end{align*}$$

\]

Step4: Simplify second - equation

\(-1.5a=3\), then \(a=\frac{3}{-1.5}=-2\)

Answer:

1. D. -4
2. A. -2