Question

Which is true regarding the system of equations? 6x+2y=46 3x+y=23

The system results in a false statement.
The system results in an intersection at one point.
The system results in parallel lines.
The system results in a true statement because they are the same line.

Answer 1

D

Explanation:

Answer 2

4th Option is correct.

Explanation:

Given:

System of equations 6x + 2y = 46

3x + y = 23

From given equation,

`a_1=6\:,\:b_1=2\:,:c_1=46\:,\:a_2=3\:,\:b_2=1\:,:c_2=23`

Now,

`(a_1)/(a_2)=(6)/(3)=2`

`(b_1)/(b_2)=(2)/(1)=2`

`(c_1)/(c_2)=(46)/(23)=2`

Clearly from above,

`(a_1)/(a_2)=(b_1)/(b_2)=(c_1)/(c_2)=2`

So, Given system of equation represent coincident lines that is they represent same lines.

Therefore, 4th Option is correct.