SOLUTION: one number is 7 less than another number. if 5 times the smaller number is subtracted from twicw the large number, the result is -10. find the numbers.

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Question 20271: one number is 7 less than another number. if 5 times the smaller number is subtracted from twicw the large number, the result is -10. find the numbers.
Found 2 solutions by Paul, JoelSchwartz:
Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
x-7=y
y=-7+x
5x-2y=-10
5x-2(7+x)=-10
5x+14-x=-10
4x=24
x=-6

Answer by JoelSchwartz(130) About Me  (Show Source):
You can put this solution on YOUR website!
y=x-7
x=y+7
2x-5y=-10
2x-5(x-7)=-10
2x-5x+35=-10
-3x=-10-35
-3x=-45
x=15
y=8
Paul your solution is wrong because it says 5 times the smaller number is subtracted from two times the larger. y is the smaller number and x is the larger number . The reason for that is that y is 7 less than x.