Question

How many solutions does the system of equations below have y=3x+2 y-2x=4

Answer 1

Only one solution.

Explanation:

y = 3x +2

y -2x =4

y - 2x = 4

=> y = 2x +4

y = 3x + 2

y = 2x + 4

Since both equations are not the same, so the answer cannot be "infinitely many solutions".

They both intersect each other 1 point, so it cannot be "no solutions".

So the answer is "Only 1 solution".

Answer 2

it has one solution
(2,8)
x=2
y=8