Question

5x + 27 = 32; 2x - 8.7 = 21.3

Explanation:

First Equation: \( 5x + 27 = 32 \)

Step1: Subtract 27 from both sides

To isolate the term with \( x \), we subtract 27 from both sides of the equation. This gives us \( 5x + 27 - 27 = 32 - 27 \), which simplifies to \( 5x = 5 \).

Step2: Divide both sides by 5

Now, to solve for \( x \), we divide both sides of the equation \( 5x = 5 \) by 5. So, \( \frac{5x}{5} = \frac{5}{5} \), which simplifies to \( x = 1 \).

Second Equation: \( 2x - 8.7 = 21.3 \)

Step1: Add 8.7 to both sides

To isolate the term with \( x \), we add 8.7 to both sides of the equation. This gives us \( 2x - 8.7 + 8.7 = 21.3 + 8.7 \), which simplifies to \( 2x = 30 \).

Step2: Divide both sides by 2

Now, to solve for \( x \), we divide both sides of the equation \( 2x = 30 \) by 2. So, \( \frac{2x}{2} = \frac{30}{2} \), which simplifies to \( x = 15 \).

Answer:

For \( 5x + 27 = 32 \), \( x = 1 \).
For \( 2x - 8.7 = 21.3 \), \( x = 15 \).