SOLUTION: im thinking of two numbers. when i double the double the first and add it to the second the total is thirteen. when i double the second and take it away from the first i get minus

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Question 919405: im thinking of two numbers. when i double the double the first and add it to the second the total is thirteen. when i double the second and take it away from the first i get minus one whats are the two numbers
Answer by MathLover1(20850) About Me  (Show Source):
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thinking of two numbers:x and y

when i double the first and add it to the second the total is thirteen:
2x%2By=13.......eq.1
when i double the second and take it away from the first i get minus one:
x-2y=-1.......eq.2
solve the system:
2x%2By=13.......eq.1
x-2y=-1.......eq.2....both sides multiply by 2
_________________________________
2x%2By=13.......eq.1
2x-4y=-2.......eq.2
______________________________________subtract eq.2 from eq.1
2x%2By-%282x-4y%29=13-%28-2%29
2x%2By-2x%2B4y=13%2B2
cross%282x%29%2By-cross%282x%29%2B4y=15
y%2B4y=15
5y=15
y=15%2F5
y=3
now find x
x-2y=-1.......eq.2..plug in 3 for y
x-2%2A3=-1
x-6=-1
x=-1%2B6
x=5
so, your numbers are: x=5 and y=3