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Writing and Soling Systems using Substitution Tutorial
Question
Jenna has one more logic puzzle to solve
-
-
= 33
= 25
Write a system of equations to represent this puzzle, using b to represent the value of each book and m to represent the
walue of each music note. Then solve the system for b and m
Type the correct answer in each box. Use numerals instead of words.
The value of each books
The wave of each music note is

answer: 8d

step-by-step explanation:

45+5= 50+5=55+5=60

step-by-step explanation:

hello from mrbilldoesmath!

answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

(a + b) (a^2 - a b + b^2)