Respuesta :
Start by solving for one variable.
2x-y=7
-y=-2x+7
y=2x-7 Plug this in for y in the other equation
6x-3(2x-7)=14
6x-6x+21=14
21=14 This is false therefore the equations are inconsistent
2x-y=7
-y=-2x+7
y=2x-7 Plug this in for y in the other equation
6x-3(2x-7)=14
6x-6x+21=14
21=14 This is false therefore the equations are inconsistent
Answer:
No solution
Step-by-step explanation:
Consider the given two lines
2x-y = 7 and 6x-3y = 14
Multiply the first equation by 3
6x-3y = 21 and Ii equation is 6x-3y =14
We observe both are of the 6x-3y = k for different ks
Hence these two are parallel lines.
As parallel lines never meet these line will not meet at all.
There cannot be any solution for this system.
If we subtract 6x-3y = 21 from 6x-3y = 14, we get absurd result as
0 = 7
This confirms that this system cannot be solved.
