Question

2/7j-(1/7)=3/14

Answer 1

I presume you're looking to try and solve for 'j' here....\[\frac{ 2 }{ 7 }j - \frac{ 1 }{ 7 } = \frac{ 3 }{ 14 }\]

So, we need to get 'j' on it's own here. First of all, we can take -1/7 over to the other side of the equation (to the other side of the '=' sign), In doing so, we change the sign on the term, so -1/7 becomes 1/7, and we are left with:

\[\frac{ 2 }{ 7 }j = \frac{ 3 }{ 14 } + \frac{ 1 }{ 7 } = \frac{ 5 }{14 }\], as we can add 3/14 and 1/7 using a calculator.
\[\frac{ 2 }{ 7 }j = \frac{ 5 }{ 14 }\]

If we divide both sides of the equation by 2, we get:
\[\frac{ 2 }{ 2(7) }j = \frac{ 5 }{ 2(14) }\]
On the left-hand side, we can see that the two '2s' above and below will cancel, and if we work out the right-hand side of the equation using a calculator again, we get:
\[\frac{ j }{ 7 } = \frac{ 5 }{ 2(14) } = \frac{ 5 }{ 28 }\]

Now, if we multiply both sides of the equation by 7, we get:
\[\frac{ 7j }{ 7 } = \frac{7(5) }{ 28 }\]
Here, the '7s' cancel on the right-hand side, and we are left with:
\[j=\frac{ 7(5) }{28}\]

If you now work out the right-hand side using a calculator and simplify the resulting fraction, you can get you're answer. Good Luck! :)