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Linear Algebra
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a) a first number is 7 greater than a second number. Twice the first number is 4 more than three times the second. Find the numbers
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x > 7 + y 2x > 4 + 3y 1st inequality implies: y < x -7 2nd inequality implies y < 2x/3 - 4/3 The slopes of these are different, so they will intersect. They intersect at x=17. So, for x <= 17, y < x-7 and for x > 17, y < 2x/3 - 4/3. |dw:1379798790537:dw| http://www.wolframalpha.com/input/?i=x+%3E+7+%2B+y%2C+2x+%3E+4+%2B+3y Let me know if you have any questions.
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