Question

Solve for b in the equation -2.1b + 5.3 = b - 3.1b + 5.3. Does it have one solution or infinitely many solutions? Why?

A. One solution

B. Infinitely many solutions

C. No solution

D. Cannot be determined

Answer 1

After simplifying the given equation, both sides are identical, which means the equation is true for all values of 'b'. Thus, the equation has infinitely many solutions.

Step-by-step explanation:

To solve for b in the equation -2.1b + 5.3 = b - 3.1b + 5.3, we first simplify the equation by combining like terms on the right side:

-2.1b + 5.3 = (b - 3.1b) + 5.3

-2.1b + 5.3 = -2.1b + 5.3

After simplifying, we can see that both sides of the equation are identical. This means that the equation is true for all values of b. Therefore, the equation has infinitely many solutions.

The correct answer to whether the equation has one solution, infinitely many solutions, no solution, or cannot be determined is B. Infinitely many solutions.