Question

solve the equation: 0.8x - 1.6 = 2.4
a. x = 4
b. x = 5
c. x = 3
d. x = 6
solve the equation: (5/6)x - 2 = 3
a. x = 8
b. x = 6
c. x = 4
d. x = 10

Explanation:

First Equation: \( 0.8x - 1.6 = 2.4 \)

Step1: Add 1.6 to both sides

\( 0.8x - 1.6 + 1.6 = 2.4 + 1.6 \)
\( 0.8x = 4 \)

Step2: Divide both sides by 0.8

\( x = \frac{4}{0.8} \)
\( x = 5 \)

Step1: Add 2 to both sides

\( \frac{5}{6}x - 2 + 2 = 3 + 2 \)
\( \frac{5}{6}x = 5 \)

Step2: Multiply both sides by \( \frac{6}{5} \)

\( x = 5 \times \frac{6}{5} \)
\( x = 6 \)

Answer:

b. \( x = 5 \)

Second Equation: \( \frac{5}{6}x - 2 = 3 \)