Question

What is the best method to solve the system of equations? 2x + 3y = 8 4x - 6y = 2?

Answer 1

Answer: x = 9/4, y = 7/6

║2x + 3y = 8
║4x - 6y = 2

║4x + 6y = 16
║4x - 6y = 2

Add both equations together:

8x = 18
x = 9/4

Sub x = 9/4 into 2x + 3y = 8 
2(9/4) + 3y = 8
9/2 + 3y = 8
3y = 7/2
y = 7/6