Question

Select the three equations that are also equivalent to 0.5+10b+4=19.5 a.10b-4=19.5 b.10b+4=19 c.2(0.5+10b+4)=39 d.10b=19.5 e.10b=15

Answer 1

$\begin{gathered} 0.5+10b+4=19.5 \\ 10b+4=19 \\ 2(0.5b+10b+4)=39 \\ 10b=15 \end{gathered}$

So the three equations are

Option B

Option C

Option E

When you collect like terms for the equation given above, you have

0.5 + 10b + 4 = 19.5

10b = 19.5 - 0.5 - 4

10b = 19 - 4

Moving the 4 back to the left, we now have

10b + 4 = 19 (B)

Also, if you multiply both sides of the equation by 2, you now have

2(0.5b + 10b + 4) = 2 (19.5)

2(0.5b + 10b + 4) = 39

Finally, if all like terms are collected and simplified, you have

10b = 19.5 - 0.5 - 4

10b = 15