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MAT1.002 - Linear Algebra (2025 - 2026)

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A small software corporation borrowed $500,000 to expand its software line. The corporation borrowed some of the money at 3%, some at 4%, and some at 5%. Use a system of equations to determine how much was borrowed at 4% when the annual interest was $20,500 and the amount borrowed at 4% was times the amount borrowed at 3%.

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For which values of and does the following system have no solution?

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Find the solution of the following system of equations:

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One eight-ounce glass of apple juice and one eight-ounce glass of orange juice contain a total of 227 milligrams of vitamin C. Two eight-ounce glasses of apple juice and three eight-ounce glasses of orange juice contain a total of 578 milligrams of vitamin C. How much vitamin C is in an eight-ounce glass of apple juice?

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Which is a linear equation?

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For which real values of will the following system have infinitely many solutions?

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How many numbers of for which the system of linear equations has no solution?

     

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For which real values of will the following system have no solutions?

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