72725
AssignmentMultiple Choice

Solving Linear Equations: Variable on One Side

Question 72725 • PARTA - EOP: PGCPS GEOMETRY OC (FALL2026) - 793413

Pieter wrote and solved an equation that models the number of hours it takes to dig a well to a level of 72 feet below sea level.7h – 5(3h – 8) = –72Which statement is true about Pieter’s solution?

Answer
A
It cannot be a fraction or decimal because the depth of the well is a whole number.
B
It must be a positive number since it represents a number of hours.
C
It must be a negative number because the depth is below sea level.
D
It cannot be greater than –72 because that is the depth of the well.

Explanation

Distribute the −5 and combine like terms: 7h − 15h + 40 = −72, so −8h = −112 and h = 14. Since h represents the number of hours, it is positive; the negative value describes the well’s depth relative to sea level, not the time taken. The true statement is that the answer must be a positive number because it represents hours.

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