Answer:
Book = $8 each
CD = $5 each
8 x 5 = 40
2 x 5 = 10
= 50
8 x 2 = 16
5 x 3 = 15
= 31
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Answer:
One book equals $8 and one CD equals $5
Step-by-step explanation:
Let books be denoted as 'x' and CDs as 'y'
5x + 2y = 50 ...1
2x + 3y = 31 ...2
I usually eliminate the y variable, and to do this, you multiply the first equation by 3 and the second equation by 2, because the lowest common multiple between 2 and 3 is 6.
...1*3 and ...2*2
15x + 6y + 150 ...3
4x + 6y = 62 ...4
Eliminate y by taking ...4 away from ...3
15x - 4x = 150 - 62
11x = 88
x = 8
Sub this value into ...1
5(8) + 2y = 50
40 + 2y = 50
Rearrange
2y = 50 - 40
2y = 10
y = 5
This means that one book is $8 and one CD equals $5
