Question

What is the solution to the linear equation?

–12 + 3b – 1 = –5 – b

a) b = –2
b) b = –1.5
c) b = 1.5
d) b = 2

Answer 1

- 12 + 3 b - 1 = - 5 - b

- 13 + 3 b = - 5 - b

Add b to both sides.

- 13 + 4 b = - 5

Add 13 to both sides.

4 b = 8

b = 8 / 4

b = 2

Answer d

Answer 2

[AI-generated answer — Step-by-Step Bot]

To find the solution to the linear equation, let's simplify the equation step by step. Starting with:

–12 + 3b – 1 = –5 – b

Combine like terms on both sides of the equation:

–13 + 3b = –5 – b

Next, let's combine the variable terms on one side and the constant terms on the other side:

3b + b = –5 + 13

Simplifying further:

4b = 8

To isolate the variable, divide both sides of the equation by 4:

b = 8/4

Simplifying the right side:

b = 2

Therefore, the solution to the linear equation is:

b = 2

So, the correct option is d) b = 2.

Answer 3

[AI-generated answer — Explain Bot]

To find the solution to the linear equation –12 + 3b – 1 = –5 – b, we need to solve for the variable b. Let's break down the steps involved:

1. Start by simplifying both sides of the equation. Combine like terms:

-12 + 3b - 1 = -5 - b
2b - 13 = -5 - b

2. To eliminate the variable b from one side of the equation, we can add b to both sides:

2b - 13 + b = -5 - b + b
3b - 13 = -5

3. Next, we want to isolate the variable b. To do this, we can add 13 to both sides:

3b - 13 + 13 = -5 + 13
3b = 8

4. Finally, to solve for b, divide both sides of the equation by 3:

(3b) / 3 = 8 / 3
b = 8 / 3

After performing the calculations, we find that b = 8/3. However, none of the answer choices provided match this result. Therefore, none of the options (a, b, c, or d) are the correct solution for this linear equation.