1 answer:
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:
![2x-14 = y](https://tex.z-dn.net/?f=2x-14%20%3D%20y)
Putting in equation 1:
![4x-2(2x-14) = 28\\4x-4x+28 = 28\\28 = 28](https://tex.z-dn.net/?f=4x-2%282x-14%29%20%3D%2028%5C%5C4x-4x%2B28%20%3D%2028%5C%5C28%20%3D%2028)
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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