Question

Which of the following shows the step necessary to solve the equation x plus five and five-sixths equals six and one-half and its correct solution?

Subtract six and one-half from both sides; two-thirds

Add six and one-half to both sides; twelve and one-third

Subtract five and five-sixths from both sides; two-thirds

Add five and five-sixths to both sides; twelve and one-third

Answer 1

help pleas

Answer 2

get the fractions into common denominators and isolate the variable

Answer 3

\[x + 5 \frac{5}{6} = 6 \frac{1}{2}\]
Subtract 5 5/6 from both sides to get x alone.
\[x = 6 \frac{1}{2}-5\frac{5}{6}\]
1/2 is really the same thing as 3/6. I got this by multplying the top and bottom by 3. You can do this as long as you do it to the top and bottom. Now we have:
\[x = 6 \frac{3}{6}-5\frac{5}{6}\]
Take one from the 6 and add it to the 3/6 as 6/6. We can do this because 6/6 is the same thing as 1.
\[x = 5 \frac{9}{6}-5\frac{5}{6}\]
\[x = \frac{4}{6}\] Reduce
\[x = \frac{2}{3}\]

So...your first option. "Subtract six and one-half from both sides; two-thirds"

Answer 4

No, sorry, my bad.
The third option. " Subtract five and five-sixths from both sides; two-thirds" becasue that's the first step i did.