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 ...
[tex]\dfrac{1}{5}g-\dfrac{1}{10}-g+1\dfrac{3}{10}g-\dfrac{1}{10}[/tex]
If we identify the g-terms and the constant terms, we can group them the way Tyson did:
[tex]\dfrac{1}{5}g+(-1)g+1\dfrac{3}{10}g-\dfrac{1}{10}-\dfrac{1}{10}[/tex]
The next step is to combine like terms. We can factor out g, so the coefficients are easier to see and combine.
[tex]\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}[/tex]
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.
