Question

What type of solutions would the following equation have? *
8b - 10 + 2b = 2 (3b – 5)

Answer 1

The equation 8b - 10 + 2b = 2 (3b – 5) is a linear equation with a single solution, b = 0. This can be determined by simplifying and solving the equation step by step.

Step-by-step explanation:

The student's equation 8b - 10 + 2b = 2 (3b – 5) is a linear equation, which can be simplified to solve for the variable b. To determine what type of solutions this equation has, we need to simplify and solve it.

First, we expand the right side of the equation:

• 8b + 2b - 10 = 6b - 10

Combine like terms on the left side:

• 10b - 10 = 6b - 10

Next, we can subtract 6b from both sides to get the equation:

• 4b - 10 = -10

Then, we add 10 to both sides of the equation to find:

• 4b = 0

Now, divide both sides by 4 to solve for b:

• b = 0

So the equation has a single solution, which is b = 0.