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Which of the following best describes the solution to the system of equations below?

6x + 3y = 6
6x + 3y = 14
A.
The system of equations has exactly one solution where I = 6 and y = 14.
B.
The system of equations has infinitely many solutions.
C.
The system of equations has no solution.
D.
The system of equations has exactly one solution where I = 0 and y =

User Suing
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1 Answer

6 votes

For this case we have the following system of equations:


6x + 3y = 6\\6x + 3y = 14

We multiply the first equation by -1:


-6x-3y = -6

We have the following equivalent system:


-6x-3y = -6\\6x + 3y = 14

We add the equations:


-6x + 6x-3y + 3y = -6 + 14\\0 = 8

Equality is not fulfilled, so the system of equations has no solution.

Answer:

Option C

User Stanley Kelly
by
8.1k points

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