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Algebra - Linear Equation for a School Library

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5).
A school library has $15,000 to spend on new books among the four
categories of biology, chemistry, physics, and mathematics. If the amount spent on biology books is to be the same as the amount spent on chemistry books and if the amount spent on mathematics books is to be the same as the total spent on chemistry and physics books, how can the money be distributed among the four types of books? (Let x denote the amount spent on biology books, y the amount spent on chemistry books, z the amount spent on physics books, and w the amount spent on mathematics books. Let all amounts be in dollars, and let w be the parameter.)
A)x=15,000+w,y=15,000+w,z=w-15,000, 2500 < (less than of equal to symbol). w < (less than or equal to symbol) 7500
B)x=15,000-3w,y=15,000-3w,z = 4w-15,000, 5000 <(less than or equal to sign) w <(less than or equal to) 10,000
C)x=15,000-2w,y=15,000-2w,z=3w-15,000,5000 <(less than or equal to sign) w < (less than or equal to) 7500
D)x=15,000-w,y=15,000-w,z=2w-15,000,2500 <(less than or equal to sign) w <(less than or equal to)5000

6). Graph the equation y=-1/4x+1

7). Use the Gauss-Jordan method to solve the system of equations.

-2x-5y=-15
-6x-15y=45

Please see the attached.

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https://brainmass.com/math/linear-algebra/algebra-linear-equation-school-library-278655

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(5) Option (C) is the answer

(6 and 7) See the attached file.

6). ...

Solution Summary

Linear equations for a school library in algebra is examined. The Solution is provided. Also File is attached.

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