Hello. Can anyone tell me how to go about solving two equations
simultaneously. Such as. a - b = 1, a/3 + b/5 = 1. The second equation is a fractional equation so i thought the correct process was to multiply the denoms by a number that both can divide into evenly.

(15/1)a/3 + (15/1)b/5 = 1(15/1) --> 5a + 3b = 15

Now take the first equation equation. a - b = 1 and multiply by -5 to drop one variable. -5(a - b = 1) --> -5a + 5b = -5

Now i end up with two equations --> 3b = 15, 5b = -5

Add the cofficents 8b = 10 --> 8b/8 = 10/8 --> b = 5/4

So if i plug in 5/4 into the first equation a - b = 1 --> a - 5/4 = 1
--> a = 5/4 + 1 --> a = 9/4

I guess i was on the right track.