Question

3/10x - 1 = 3/4

Please show me how you got to the answer so I know how to do it. You will also be given A LOT of points

Answer 1

✦Alright. Lets do this step-by-step. ✦

3/10x - 1 = 3/4 ⇒ Equation
+1 +1 ⇒ Inverse operation being applied to both sides

1 3/4 = 3/10x

3/10x
-------- = 7/4 ÷ 3/10
3/10

Now we need to divide 7/4 by 3/10

Keep the first fraction ⇒ 7/4
Change the sign ⇒ ×
Flip the second fraction ⇒ 10/3

Now multiply them!

7*10 = 70
------------
4*3 = 12

70/12 = x

Simplify ⇒ 70/12

5 10/12 = 5 5/6

Answer ⇒ x = 5 5/6

Answer 2

First you make -1 and 3/4 have a common denominator. 1 has a fraction of 1/1 so times four it is 4/4. Then you add on both sides in order to isolate x and you get 3/10x = 7/4.

Then you isolate x by multyiplying the reciprocal of 3/10 on both sides, 10/3.
3/10 and 10/3 cancel out and you get an answer of x = 70/4.

You could then simplify it to get 35/6 by finding a greasted common multiple of 12 and 70 which is 2 and dividing both by 2 to get a simpilier answer.

So the answer is x = 35/6