Question

1. two-step equations

a. solve: 3x - 4 = 11

b. solve: 5x + 6 = - 4

Explanation:

Part A: Solve \( 3x - 4 = 11 \)

Step1: Add 4 to both sides

To isolate the term with \( x \), we add 4 to both sides of the equation. This cancels out the \(-4\) on the left side.
\( 3x - 4 + 4 = 11 + 4 \)
\( 3x = 15 \)

Step2: Divide by 3

To solve for \( x \), divide both sides by 3.
\( \frac{3x}{3} = \frac{15}{3} \)
\( x = 5 \)

Step1: Subtract 6 from both sides

To isolate the term with \( x \), we subtract 6 from both sides of the equation. This cancels out the \( +6 \) on the left side.
\( 5x + 6 - 6 = -4 - 6 \)
\( 5x = -10 \)

Step2: Divide by 5

To solve for \( x \), divide both sides by 5.
\( \frac{5x}{5} = \frac{-10}{5} \)
\( x = -2 \)

Answer:

\( x = 5 \)

Part B: Solve \( 5x + 6 = -4 \)