Let's solve the equations one by one.
Question 1
Solve the equation for x:
\( 9x - 4 = 113 \)
Step 1: Add 4 to both sides of the equation:
\( 9x = 113 + 4 \)
\( 9x = 117 \)
Step 2: Divide both sides by 9:
\( x = \frac{117}{9} \)
\( x = 13 \)
So, the answer is:
A. x = 13
Question 2
Solve the equation:
\( 5(x + 11) = 55 + 5x \)
Step 1: Distribute 5 on the left side:
\( 5x + 55 = 55 + 5x \)
Step 2: Subtract \( 5x \) from both sides:
\( 55 = 55 \)
This statement is always true, which implies that the equation has infinitely many solutions.
So, the answer is:
C. All real numbers