SOLUTION: 1.The system of equations x/2 - y/3 = 0 and x/6 - y/18 = 1/2 has a unique solution. true or fALSE 2. The sum of the digits of a two-digit number is 9. If the digits are re

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: 1.The system of equations x/2 - y/3 = 0 and x/6 - y/18 = 1/2 has a unique solution. true or fALSE 2. The sum of the digits of a two-digit number is 9. If the digits are re      Log On

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Question 1000052: 1.The system of equations x/2 - y/3 = 0 and x/6 - y/18 = 1/2 has a unique solution. true or fALSE
2. The sum of the digits of a two-digit number is 9. If the digits are reversed, the new number is 9 less than the original number. What is the number when the digits are reversed?

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
system%28x%2F2-y%2F3=0%2Cx%2F6-y%2F18=1%2F2%29

6* the first one, 18* the second one

system%283x-2y=0%2C3x-y=9%29
Slopes are unequal. One unique solution.



Digits Problem:
Original number 10t%2Bu with t for the ten's place and u for the units or ones place.
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system%28t%2Bu=9%2C10u%2Bt=-9%2B%2810t%2Bu%29%29------this system of equations is an exact translation of the description into equations. MOST important is that you be able to form these equations. Almost as important is be able to solve the system of equations for t and u. If you can do these, then your understanding and skill will be fine.