Question

is 5 a solution of the equation 17d + 85 = 170?
5 is the solution because (17 × 5) − 85 equals 170.
5 is not the solution because 5 times 17 equals 85.
5 is not the solution because 170 is the solution.
5 is the solution because (17 × 5) + 85 equals 170.

Explanation:

To determine if 5 is a solution, substitute \( d = 5 \) into the equation \( 17d + 85 \). Calculate \( 17\times5 + 85 \): \( 85 + 85 = 170 \), which matches the right - hand side. The first option has an incorrect operation (subtraction instead of addition), the second option's reasoning is wrong as \( 17\times5 = 85 \) doesn't mean it's not a solution, and the third option's reasoning is illogical.

Answer:

5 is the solution because \((17\times5)+85\) equals 170.