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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.

Respuesta :

Answer:

4th Option is correct.

Step-by-step explanation:

Given:

System of equations 6x + 2y = 46

3x + y = 23

From given equation,

[tex]a_1=6\:,\:b_1=2\:,:c_1=46\:,\:a_2=3\:,\:b_2=1\:,:c_2=23[/tex]

Now,

[tex]\frac{a_1}{a_2}=\frac{6}{3}=2[/tex]

[tex]\frac{b_1}{b_2}=\frac{2}{1}=2[/tex]

[tex]\frac{c_1}{c_2}=\frac{46}{23}=2[/tex]

Clearly from above,

[tex]\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}=2[/tex]

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

Therefore, 4th Option is correct.

Answer:

D

Step-by-step explanation:

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