Question

Solve the equation and then check your solution: −65.376=7.2(9c−1).

A) 1.12
B) -0.9
C) -1.12
D) -1.02

Answer 1

To solve the equation −65.376=7.2(9c−1), isolate the variable c by distributing 7.2, simplifying, and solving for c. The solution c = -0.9 satisfies the equation, so the correct answer is -0.9.

Step-by-step explanation:

To solve the equation −65.376=7.2(9c−1), we need to isolate the variable c.

First, distribute 7.2 to the terms inside the bracket:

-65.376 = 7.2(9c) - 7.2(1)

-65.376 = 64.8c - 7.2

Next, add 7.2 to both sides of the equation:

-65.376 + 7.2 = 64.8c - 7.2 + 7.2

-58.176 = 64.8c

Finally, divide both sides of the equation by 64.8 to solve for c:

c = -58.176/64.8

c = -0.9

To check our solution, substitute c = -0.9 back into the original equation:

-65.376 = 7.2(9(-0.9) - 1)

-65.376 = 7.2(-8.1 - 1)

-65.376 = 7.2(-9.1)

-65.376 = -65.376

The solution c = -0.9 satisfies the original equation, so the correct answer is B) -0.9.