SOLUTION: The sum of five times a number and twice a second number is 18, but the difference of three times the first number and seven times the second number is -22.

Question 886101: The sum of five times a number and twice a second number is 18, but the difference of three times the first number and seven times the second number is -22.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
The sum of five times a number and twice a second number is 18, but the difference of three times the first number and seven times the second number is -22.
***
let x=1st number
let y=2nd number
..
5x+2y=18
3x-7y=-22
..
15x+6y=54 (mult. 1st eq by 3)
15x-35y=-110 (mult. 2nd eq by 5)
subtract:
41y=164
y=4
5x=18-2y=18-8=10
5x=10
x=2
point of intersection:(2,4)

RELATED QUESTIONS
The sum of five times a number and twice a second number is 18, but the difference of... (answered by stanbon)

the difference between seven times one number and three times a second number is 25. The... (answered by Maths68)

The difference between seven times one number and three times a second number is 25. the... (answered by stanbon)

three times the difference of eight and twice a number is five times the... (answered by math-vortex)

four times a first number decreased by three times a second number is 22. the sum of the... (answered by stanbon)

the sum of twice one number and three times a second number is 84 sum of thrice the first (answered by vidhyak)

Twice the sum of a number and 3 times a second numbers is 4. The difference of ten times (answered by mananth)

The sum of three times the number and a second number is one. The difference of the first (answered by lwsshak3)

The sum of 4 times the first number and three times the second number is 15. The... (answered by Cromlix)