How do you solve 1/4t-1/6=-4/914t−16=−49?

2 Answers
Zero Two
Jun 29, 2017

t = -20/18t=−2018

Explanation:

First put the 1/616 on the other side so that tt is on its own.

1/4 t = -4/9 + 1/614t=−49+16

Find a common denominator, 18, so that the two fractions can be added together.

1/4 t = (-8 + 3)/18 -> -5/1814t=−8+318→−518

t/4 = -5/18t4=−518

18t = -2018t=−20

t = -20/18t=−2018

Alex N.
Jun 29, 2017

t=-10/9t=−109

Explanation:

First, bring the constants (a number on its own) to the right-hand side in order to isolate tt. We end up with tt on the left-hand side and the constants on the right-hand side. If we bring -1/6−16 over, we have to do the inverse operation. In this case, we do
addition like this:

t/4-1/6=-1/9t4−16=−19
t/4=-1/9+1/6t4=−19+16
t/4=-5/18t4=−518

We can then cross multiply which is when we multiply the denominators and numerators that are diagonal to each other, like this:

t*18=-5*4t⋅18=−5⋅4
18t=-2018t=−20

All we have to do is to divide each side by 18 to get tt by itself.

(18t)/18=-20/1818t18=−2018
t=-10/9t=−109

Hope this helps you, mate.

Related questions
See all questions in Multi-Step Equations with Like Terms
Impact of this question
1969 views around the world
You can reuse this answer
Creative Commons License