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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.

2 Answers

1 vote

Answer:

D

Explanation:

User Michel Jansson
by
7.2k points
7 votes

Answer:

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.

User Sgmonda
by
8.0k points

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