SOLUTION: The sum of four times the first number and three times the second number is 15. The difference of three times the first number and twice the second number is 7. Find the numbers.
Algebra ->
Customizable Word Problem Solvers
-> Numbers
-> SOLUTION: The sum of four times the first number and three times the second number is 15. The difference of three times the first number and twice the second number is 7. Find the numbers.
Log On
Question 799633: The sum of four times the first number and three times the second number is 15. The difference of three times the first number and twice the second number is 7. Find the numbers. Answer by mananth(16946) (Show Source):
3 x -2 y = 7 .............2
Eliminate y
multiply (1)by 2
Multiply (2) by 3
8 x 6 y = 30
9 x -6 y = 21
Add the two equations
17 x = 51
/ 17
x = 3
plug value of x in (1)
4 x + 3 y = 15
12 + 3 y = 15
3 y = 15 -12
3 y = 3
y = 1
x= 3
y= 1
m.ananth@hotmail.ca