SOLUTION: There are two numbers such that the sum of twice the first number and thrice the second number is 231. The sum of thrice the first number and twice the second number is 120. What i

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: There are two numbers such that the sum of twice the first number and thrice the second number is 231. The sum of thrice the first number and twice the second number is 120. What i      Log On


   

Question 1073149: There are two numbers such that the sum of twice the first number and thrice the second number is 231. The sum of thrice the first number and twice the second number is 120. What is the larger number?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
numbers are x and y
2x+3y=231
3x+2y=120
multiply top by -3 and bottom by +2
-6x-9y=-693
6x+4y=240
-5y=-453
y=90.6
2x+3(90.6)=231
2x+271.8=231
2x=-40.8
x=-20.4
check in second equation
3(-20.4)+2(90.6)=-61.2+181.2=120
(-20.4, 90.6)