Question

What is the best way to solve this system of equations:

5a+3x=452
a+x=108

Any help is much appreciated!

Answer 1

`5a+3x=452 \\ a+x=108 \ \ \ |* (-3) \\ \\ 5a+3x=452 \\ \underline{-3a-3x=-324} \\ 5a-3a=452-324 \\ 2a=128 \ \ \ |/ 2 \\ a=64 \\ \\ a+x=108 \\ 64+x=108 \ \ \ |-64 \\ x=44 \\ \\ \boxed{a=64, x=44}`