The system of equations have infinitely many solution.
What is a system of equation?
A system of equations is a set or collection of equations that you deal with all together at once. For a system to have a unique solution, the number of equations must equal the number of unknowns.
For the given situation,
The equations are
10x+5y=5 -------- (1)
4x+2y=2 -------- (2)
Divide the equation 1 by 5 we get,
⇒ [tex]2x+y=1[/tex] --------- (3)
Divide the equation 2 by 2 we get,
⇒ [tex]2x+y=1[/tex] --------- (4)
Now compare the equations 3 and 4,
The two equations are same. So the two lines are coincident to each other.
Thus this system of equations have infinitely many solution.
Hence we can conclude that the system of equations have infinitely many solution.
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