Question

What is the best solution to the linear equation?


4b + 6= 2 - b + 4

Answer 1

`b=0`

Explanation:

Givens

We are given a linear equation:

`4b + 6= 2 - b + 4`

We are asked to find the best solution for the linear equation. In other words, we will be solving for a variable, b.

Solve

First, combine like terms on the right side of the equation:

`4b + 6= 2 - b + 4\\\\4b+6=2+4-b\\\\4b+6=6-b`

Then, move the constants (whole numbers) to the right side of the equation:

`4b+6=6-b\\\\4b+6-6=6-6-b\\\\4b=-b`

Then, move the variables to the left side of the equation:

`4b-b=-b-b\\\\3b=0`

Finally, divide both sides of the equation by 3:

`3b=0\\\\\displaystyle (3b)/(3) = (0)/(3)\\\\b = 0`

Final Answer

The best solution to the linear equation is b = 0.