Respuesta :
This system of equations have infinite solution.
how many solution does this equation have?
If solving an equation yields a statement that is true for a single value for the variable, like x = 3, then the equation has one solution. If solving an equation yields a statement that is always true, like 3 = 3, then the equation has infinitely many solutions.
Given that,
The system is 2x + y = 1 and 4x + 2y = 2. It is graphed below.
Solutions to a system are the intersection points. Since these two lines are the same line they intersect everywhere. There are infinitely many solutions.
2x+y = 1 ...........(1)
4x+2y = 2 .......(2)
Then from equation (2) dividing by 2 on both side
2x+y = 1
since both lines are same. They overlap to each other.it means the equation have many solution.
Hence,This system of equations have infinite solution.
To learn more about solution of an equation from the given link:
https://brainly.com/question/12159850
The above question is not complete.
How many solutions does this system of equations have?
(a) none
(b) exactly two
(c) infinitely many
(d) exactly one
Graph of a system of linear equations. Equation 1 is 2x plus y equals 1.. Equation 2 is 4x plus 2y equals 2. The graphs are the same line.
#SPJ4
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