SOLUTION: Keith thinks of two numbers. When he adds the two numbers he gets eight. When he doubles the first number and takes away the treble the second number he gets 1.

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Keith thinks of two numbers. When he adds the two numbers he gets eight. When he doubles the first number and takes away the treble the second number he gets 1.       Log On


   

Question 871885: Keith thinks of two numbers. When he adds the two numbers he gets eight. When he doubles the first number and takes away the treble the second number he gets 1.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x and y, the numbers.

x+y=8.

2x-3y=1.

I suggest elimination method to start.
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2x+2y=16
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2x-3y=1
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Subtract as (2x+2y)-(2x-3y)=15
5y=15
y=3 and this means x=5.