SOLUTION: hi, i need exactly step by step solution in this word problem.thanks Five times the difference of two numbers is 6 less than twice their sum.Twice the first number added to o

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Question 149174This question is from textbook
: hi, i need exactly step by step solution in this word problem.thanks

Five times the difference of two numbers is 6 less than twice their sum.Twice the first number added to one.third of the second number is 11.Find the numbers.
This question is from textbook

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
A) 5(x-y)=2(x+y)-6
B) 2x + y/3 = 11
.
A)
Let x be the 1st number, y the 2nd.
5x-5y=2x+2y-6
3x-7y=-6
B)
6x+y=33
y=-6x+33
.
A)
3x-7(-6x+33)=-6
3x+42x-231=-6
45x=225
x=5
.
B)
y=-6*5 +33
=-30+33
=3
.
Ed