how do you solve for all of the variables using system of equations

Question

2a-3b=-5, 4a+3b=17, 5c-2a=1

Answer 1

From the first equation, 2a = 3b - 5

So, 2(3b-5) + 3b = 17. Therefore, 9b = 27. So, b = 3

Thus, 2a = 3(3) - 5 = 4. So, a = 2.

Finally, 5c - 2(2) = 1. So, c = 1

Answer 2

One posting of a problem is sufficient.