SOLUTION: Well , i'm not sure if i put the right topic but i'm really confused. My Class are learning how to solve equations having the variable in both members and so the question is :

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Question 408274: Well , i'm not sure if i put the right topic but i'm really confused. My Class are learning how to solve equations having the variable in both members and so the question is :
The sum of two numbers is 17. Six times the smaller is two less than twice the greater. What are the numbers?

I don't know how to get the answer which is really stressing me out .
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
The sum of two numbers is 17. Six times the smaller is two less than twice the greater. What are the numbers?
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Equations:
x + y = 17
6x = 2y-2
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If you solve by substitution you might do as follows:
x = 17-y
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Substitute:
6(17-y) = 2y-2
102-6y = 2y-2
8y = 104
y = 13
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Solve for "x":
x = 17-y
x = 17-13
x = 4
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Cheers,
Stan H.
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Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
Call the numbers and
given:
(1)
(2) (assume is the smaller)
This is 2 equations with 2 unknowns, so when
number of equations = number of unknowns,
the system is solvable
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Subtract from both sides of (2)
(2)
Multiply both sides of (1) by , and
add (1) and (2)
(1)
(2)

and, from (1),
(1)

The larger is 13 and the smaller is 4
check answer:"
(2)
(2)

OK