1). 3x + 2y = 1
2). 4x + 6y = 7
to use elimination you need to isolate one term (x or y). to do this I would multiply 1). by (-3)
1). * -3 is -9x - 6y = -3
x = -4/5
plug into 2). to get y.
4(-4/5) + 6y = 7
-16/5 + 6y = 7
-16 + 30y = 35
30y = 35 + 16
y = 51/30 = 17/10 or 1 7/10