Question

examine the following equations to predict their solution. match each equation with its corresponding positive, negative, or zero solution.
33 = 11b \ta. zero
9x + 15 = 3x +15 \tb. negative
-5c = 15 \tc. positive
attempt 1 of 2 \tsubmit

Explanation:

Step1: Solve \( 33 = 11b \)

Divide both sides by 11: \( b=\frac{33}{11}=3 \), which is positive. So \( 33 = 11b \) matches c. positive.

Step2: Solve \( 9x + 15 = 3x + 15 \)

Subtract \( 3x \) and 15 from both sides: \( 6x = 0 \), so \( x = 0 \). Thus \( 9x + 15 = 3x + 15 \) matches a. zero.

Step3: Solve \( -5c = 15 \)

Divide both sides by -5: \( c=\frac{15}{-5}=-3 \), which is negative. So \( -5c = 15 \) matches b. negative.

Answer:

\( 33 = 11b \): c. positive
\( 9x + 15 = 3x + 15 \): a. zero
\( -5c = 15 \): b. negative