Question

What is the solution to the system 4x – 6y = 42 x + 6y = 48

Answer 1

$4x-6y=42 \\ \underline{x+6y=48 \ \ } \\ 4x+x=42+48 \\ 5x=90 \\ x=\frac{90}{5} \\ x=18 \\ \\ x+6y=48 \\ 18+6y=48 \\ 6y=48-18 \\ 6y=30 \\ y=\frac{30}{5} \\ y=6 \\ \\ \boxed{(x,y)=(18,6)}$

Answer 2

4x -  6y = 42
1x + 6y = 48
        5x = 90
         5      5
          x = 18
1x + 6y = 48
   18 + 6y = 48
- 18          - 18
           6y = 30
            6      6
             y = 5
       (x, y) = (18, 5)