How do you solve 10.9 + 4b = 17?

May 12, 2018

In order to get the value of $b$, we have to move everything out of its way.

Explanation:

First of all, the $10.9$ is getting in the way, so, we move it to the other side with a negative sign because everytime we move something from one side to the other we have to change its original sign.

So, it will look something like this:

$4 b = 17 - 10.9$

Now, we subtract:

$4 b = 6.1$

The last thing left to do is move the $4$, but, because it is multiplying $b$, when we move it to the other side we have to divide it.

(Remember: every time you move something from one side of the equation to the other you have to write its opposite. However, when moving multiplications and divisions you leave the original sign)

Now we have:

$\frac{4 b}{4} = \frac{6.1}{4}$

We divide it and that's it! The final answer is:

$b = 1.525$

If you want to check your answer, just substitute $1.525$ in the original equation.

$10.9 + 4 \left(1.525\right) = 17$

$17 = 17$