Inconsistent System Of Equations: Why Y = 10 And Y = 5 Cannot Both Be True

Classify the following system of equations:y = 10y = 5

inconsistent

The system of equations y = 10 and y = 5 cannot be true at the same time. This is because y can only have one value at a time. Therefore, this system of equations is inconsistent and has no solution.

Geometrically, these equations represent two horizontal lines on the y-axis, one passing through y = 10 and the other passing through y = 5. Since these lines do not intersect, there is no solution to the system.

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Inconsistent System Of Equations: Why Y = 10 And Y = 5 Cannot Both Be True

Classify the following system of equations:y = 10y = 5

inconsistent

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