Question

2x+3y=6 3x-y=2 How many solutions does this have, one, none or infinite

Answer 1

Y=-2/3x + 2
y=3x-2

one because the slopes are different

Answer 2

A) 2x+3y=6
B) 3x-y=2
Multiplying equation B by 3
9x -3y = 6 then adding it to equation A
2x + 3y = 6
11x = 12
x = 12 / 11

2x + 3y = 6
3y = 6 -2x
y = 2 -(2/3)x
y = 2 -(2/3) * (12/11)
y = 2 -8/11
y = 14 / 11

Therefore, it has one solution