Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Jan 30, 2024

Solve the equation $3a - 3 = 6a$ . Select the correct choice: A. $a = \frac{3}{3}$ , B. The solution is all real numbers, C. There is no solution.

STEP 1

Question: What is the first step to isolate the variable $a$ in the equation $3a - 3 = 6a$ ?
A) Add 3 to both sides of the equation. B) Subtract $3a$ from both sides of the equation. C) Subtract $6a$ from both sides of the equation. D) Divide both sides of the equation by 3.
Answer: C) Subtract $6a$ from both sides of the equation.

STEP 2

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A) $9a = 0$ B) $3a = 3$ C) $0 = 0$ D) $-3a = 3$
Answer: D) $-3a = 3$

STEP 3

Question: How do you solve for $a$ in the equation $-3a = 3$ ?
A) Add 3 to both sides of the equation. B) Subtract 3 from both sides of the equation. C) Multiply both sides of the equation by -3. D) Divide both sides of the equation by -3.
Answer: D) Divide both sides of the equation by -3.

STEP 4

Question: What is the value of $a$ after dividing both sides of the equation by -3?
A) $a = 1$ B) $a = 0$ C) $a = -1$ D) $a = -3$
Answer: C) $a = -1$

STEP 5

Question: Which of the following statements is true regarding the solution to the equation $3a - 3 = 6a$ ?
A) There is no solution. B) The solution is all real numbers. C) The solution is $a = -1$ . D) The solution is $a = 1$ .
Answer: C) The solution is $a = -1$ .

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