SOLUTION: 1 The sum of two numbers is 12. One number is 5 times the other. Can you write the algebraic expressions for these two equations? Can you tell me what the two numbers are? I kn

Algebra ->  Expressions -> SOLUTION: 1 The sum of two numbers is 12. One number is 5 times the other. Can you write the algebraic expressions for these two equations? Can you tell me what the two numbers are? I kn      Log On


   

Question 152619: 1 The sum of two numbers is 12. One number is 5 times the other. Can you write the algebraic expressions for these two equations? Can you tell me what the two numbers are?
I know it is 10 and 2 but need all algebraic expressions
2. We know that if you multiply two negative numbers together you always get a positive number. We know that if you perform an arithmetic operation on rational numbers you always get a rational number as the answer. Are there any such rules for irrational numbers? Give examples.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First number is x.,
Second number is y.
1.x%2By=12
2.x=5y
You can then substitute eq. 2 into eq. 1.
1.x%2By=12
5y%2By=12
6y=12
y=2
Then from 2,
2.x=5y
x=5%282%29
x=10
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The rules for irrational numbers are similar.
Adding or subtracting two irrational numbers gives an irrational number.
Multiplying or dividing irrational numbers can give either rational or irrational numbers.
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Examples:
sqrt%282%29%2Asqrt%285%29=sqrt%2810%29 Irrational number
sqrt%282%29%2Asqrt%282%29=2 Rational number
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sqrt%286%29%2Fsqrt%282%29=sqrt%283%29 Irrational number
sqrt%285%29%2Fsqrt%285%29=1 Rational number