Answered

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Answer:

The given system of equations has infinitely many solutions.

Step-by-step explanation:

Given equations are:

4x-2y = 28

2x-y = 14

From equation 2:

[tex]2x-14 = y[/tex]

Putting in equation 1:

[tex]4x-2(2x-14) = 28\\4x-4x+28 = 28\\28 = 28[/tex]

When this happens in the solution of a system i.e. same constant on both sides of equation, the system of equations has infinitely many solutions.

Hence,

The given system of equations has infinitely many solutions.

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