SOLUTION: Set up a system of linear equations and solve for the indicated quantities The number of mathematics teachers at a local high school is 5 more than 4 times the number of English

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Question 1108897: Set up a system of linear equations and solve for the indicated quantities
The number of mathematics teachers at a local high school is 5 more than 4 times the number of English teachers. The high school has 100 Mathematics and English teachers in all. Let x equal the number of mathematics teachers and let y equal the number of English teachers Find the number of Mathematics and English teachers that work for the local high school.
Answer by stanbon(75887) About Me  (Show Source):
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Set up a system of linear equations and solve for the indicated quantities
The number of mathematics teachers at a local high school is 5 more than 4 times the number of English teachers. The high school has 100 Mathematics and English teachers in all. Let x equal the number of mathematics teachers and let y equal the number of English teachers Find the number of Mathematics and English teachers that work for the local high school.
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Equations:
m = 4e + 5
m + e = 100
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Substitute for "m" and solve for "e"::
4e+5 + e = 100
5e = 95
e = 19 (# of English teachers)
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m = 4e+5 = 76+5 = 81 (# of math teachers)
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Cheers,
Stan H.
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