Question

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

Answer 1

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)

Answer 2

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