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A college student completed some courses worth 3 credits and some courses worth 4 credits. The student earned a total of 59 credits after completing 18 courses.

A college student completed some courses worth 3 credits and some courses worth 4 credits. The student earned a total of 59 credits after completing 18 courses.How many courses worth 2 credits did the student complete?

Answer:He completed 13 courses worth 3 credits and 5 courses worth 4 credits.Step-by-step explanation:LetNumber of courses worth 3 credits = xNumber of courses worth 4 credits = y1. The student completed a total of 18 courses, then2. The student earned a total of 59 credits, he earned 3x on 3 credits' courses and 4y on 4 credits' courses, so3. You get the system of two equations:From the first equationSubstitute it into the second equation:He completed 13 courses worth 3 credits and 5 courses worth 4 credits....

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