AbbyB000
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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.

Respuesta :

A.) There is no solution.
calculista

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

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