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

Question

asked Sep 10, 2020 63.9k views

1 Answer

Hemant Parmar · Answer 1 · 2020-09-16T11:48:11+0000

Answer:

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.