Answers fast please:
y=3x−49x−3y=14

Use the substitution method.




A.) There is no solution.

B.) The solution is (12, 14).

C.) The solution is (14, 12).

D.) There are an infinite number of solutions.

Relax

Respuesta :

A.) There is no solution.

Answer:

Option A. There is no solution.

Step-by-step explanation:

we have

[tex]y=3x-4[/tex] ------> equation A

[tex]9x-3y=14[/tex] ------> equation B

substitute equation A in equation B

[tex]9x-3(3x-4)=14[/tex]

[tex]9x-9x+12=14[/tex]

[tex]12=14[/tex] ------> is not true

therefore

The system has no solution

Explanation

The slope of the line A  is equal to [tex]m=3[/tex]

Find the slope of the line B

[tex]3y=9x-14[/tex]------> [tex]y=3x-(14/3)[/tex]

The slope of the line B is equal to [tex]m=3[/tex]

therefore

Line A and Line B are parallel lines, because the slope is the same

The system has no solution