Question

The equation, and you have to find what he did wrong. Please help me, i'm stuck- ive been stuck on it since yesterday

Answer 1

9514 1404 393

Answer:

  terms were improperly combined

Step-by-step explanation:

I find the easiest way to identify the error in a solution is to solve it myself and compare with what is shown as being done.

Here, we're starting with ...

  $\dfrac{1}{5}g-\dfrac{1}{10}-g+1\dfrac{3}{10}g-\dfrac{1}{10}$

If we identify the g-terms and the constant terms, we can group them the way Tyson did:

  $\dfrac{1}{5}g+(-1)g+1\dfrac{3}{10}g-\dfrac{1}{10}-\dfrac{1}{10}$

The next step is to combine like terms. We can factor out g, so the coefficients are easier to see and combine.

  $\left(\dfrac{1}{5}+(-1)+1\dfrac{3}{10}\right)g-\dfrac{1}{10}-\dfrac{1}{10}\qquad\text{step 1a}\\\\\dfrac{1}{2}g-\dfrac{1}{5}\qquad\text{step 2}$

The error is 1 3/10 was combined with -2/10 as a constant instead of being combined with -4/5 as a coefficient of g.