Question

solve the equation: 0.5x - 2 = 3
a. x = 10
b. x = 5
c. x = 2
d. x = 3
solve the equation: 0.75x + 1.5 = 4.5
a. x = 2
b. x = 4
c. x = 3
d. x = 6

Explanation:

First Equation: \(0.5x - 2 = 3\)

Step1: Add 2 to both sides

\(0.5x - 2 + 2 = 3 + 2\)
\(0.5x = 5\)

Step2: Divide by 0.5

\(x = \frac{5}{0.5}\)
\(x = 10\)

Step1: Subtract 1.5 from both sides

\(0.75x + 1.5 - 1.5 = 4.5 - 1.5\)
\(0.75x = 3\)

Step2: Divide by 0.75

\(x = \frac{3}{0.75}\)
\(x = 4\)

Answer:

a. \(x = 10\)

Second Equation: \(0.75x + 1.5 = 4.5\)