Solve systems of two linear equations exactly and approximately using algebraic and graphical methods.
Interpret a system solution in context
Problem
Two plan models intersect at \((4,~40)\), where \(x\) is months and \(y\) is total cost in dollars. Interpret the input, shared output, equality, and viability of the intersection.
Big Picture
What this problem is really about
A contextual ordered pair has meaning only after each coordinate is matched to its variable and unit. We’ll read the input first and the output second, use the fact that an intersection lies on both models to interpret the shared output, and then compare both coordinates with the context’s domain restrictions. That final check determines whether the mathematical intersection is viable.
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