SOLUTION: the sum of twice a first number and fives times a second is 97. if the second number is subtracted from fives times the first number the result is 40.find the numbers.

Question 520530: the sum of twice a first number and fives times a second is 97. if the second number is subtracted from fives times the first number the result is 40.find the numbers.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
one number =x
other =y
2x+5y=97-----1
5x-y=40-----2
multiply (2) by 5
25x-5y=200
add this to (1)
27x=297
/27
x=11
plug x in (1)
2x+5y=97
22+5y=97
5y=75
/5
y=15
11,15 are the numbers

RELATED QUESTIONS
the sum of twice a first number and five times a second number is 90. if the second... (answered by explodingstxrs)

The sum of twice a first number and five times a second number is 111. If the second... (answered by mananth)

The sum of twice a first number and seven times a second number is 66. If the second... (answered by robertb)

The sum of twice a first number and three times a second number is 71. If the second... (answered by erica65404)

The sum of twice a first number and five times a second number is 85. If the second... (answered by ikleyn)

The sum of three times a first number and twice a second number is 8. If the second... (answered by mananth)

The sum of three times a first number, and twice a second number is 8. If the second... (answered by ankor@dixie-net.com)

The sum of three times a first number, and twice a second number is 14. If the second... (answered by josgarithmetic)

Eight more than twice a number is equal to ten less than fives times the... (answered by Olasko,ikleyn)