Provide an appropriate response.Explain how to recognize that a system of two equations in two variables is inconsistent without graphing or using an algebraic method of solution.

What will be an ideal response?


Consider the following system of equations:
A1x + B1y = C1,
A2x + B2y = C2.
If A2 = kA1 and B2 = kB1, but C2 ? kC1, then the system of equations is inconsistent.

Mathematics

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