Question

Does y=3x-5 and y=3x+5 have infinitely many solutions, no solution or infinitely many solutions ​

Answer 1

The given pair of equations has NO SOLUTION.

Explanation:

Here, the given system of equations are: y = 3 x - 5 and y = 3 x + 5

Now write the given system in the form ax + by + c = 0.

1) 3 x -y - 5 = 0

2) 3 x - y + 5 = 0

Now, here
`(a_1)/(a_2 )  = (3)/(3)  = 1 ,  (b_1)/(b_2 ) =1  , (c_1)/(c_2 ) = (-5)/(5)= -1`

⇒
`(a_1)/(a_2 ) = (b_1)/(b_2 )  \\eq (c_1)/(c_2 )`

Hence, the given pair of equations has NO SOLUTION.