Answer: These are non- consistent and can be solved. The signs of the y terms are the opposite.
Step-by-step explanation: If the signs are the same, and all the terms of one equation are multiples of the other, they are identies, with infinite solutions. We can solve this system by multiplying the first equation by 2, adding the equations to cancel the y terms, and solve for x.
2(3x+y=5) becomes
6x +2y= 10 Add it to the other equation
6x -2y= 10 We are left with
12x = 20 Solve for x
x = 5/3 Substitute for x and solve for y.
3(5/3) + y = 5
5 + y = 5. Subtract 5 from both sides.
y = 0
The solution to this system is (5/3 , 0)