Question

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

Answer 1

Answer:

The given pair of equations has NO SOLUTION.

Step-by-step 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  $\frac{a_1}{a_2 }  = \frac{3}{3}  = 1 ,  \frac{b_1}{b_2 } =1  , \frac{c_1}{c_2 } = \frac{-5}{5}= -1$

⇒ $\frac{a_1}{a_2 } = \frac{b_1}{b_2 }  \neq \frac{c_1}{c_2 }$

Hence, the given pair of equations has NO SOLUTION.