. Solve the following system using any method.
6x + 12y = 14
10x + 20y = 25

(6, 1)

(2,2)

(1, 1)

No solution. The system is inconsistent.

Infinite number of solutions. The system is dependent.

Question

. Solve the following system using any method.
    6x + 12y = 14 
    10x + 20y = 25

 (6, 1)

 (2,2)

 (1, 1)

 No solution.   The system is inconsistent. 

 Infinite number of solutions.   The system is dependent.

dumbsearch2 · Answer

Thanks so much guysss !:)

mathstudent55 · Answer

First, divide the first equation by 2 and the second equation by 5.

dumbsearch2 · Answer

@HEEDCOM IN ADVANCE, silly! :-)

mathstudent55 · Answer

6x + 12y = 14 
10x + 20y = 25

3x + 6y = 7
2x + 4y = 5

Now multiply first equation by 2 and second equation by 3 and subtract the second equation from the first equation.
6x + 12y = 14
6x + 12y = 15
-------------(subtract)
 0  +  0   = -1
0 = -1 is a false statement. That means the lines a parallel, and there are no solutions.

dumbsearch2 · Answer

Thank you you are brillient!!! :)  @mathstudent55