SOLUTION: The sum of three numbers is 3. The first, minus the second, plus three times the third, is -7. The third plus 3 times the first, plus the second is 11. What are the numbers?

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Numbers -> SOLUTION: The sum of three numbers is 3. The first, minus the second, plus three times the third, is -7. The third plus 3 times the first, plus the second is 11. What are the numbers?      Log On

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 Click here to see ALL problems on Numbers Word Problems Question 319680: The sum of three numbers is 3. The first, minus the second, plus three times the third, is -7. The third plus 3 times the first, plus the second is 11. What are the numbers?Answer by mananth(12270)   (Show Source): You can put this solution on YOUR website!let the numbers be x , y , z. x+y+z=3 z= 3-(x+y) .. x+y-3z=-7 z+3x+y=11 .. plug the value of z in both the equations x+y-3(3-(x+y)=-7 x+y-3(3-x-y)=-7 x+y-9+3x+3y=-7 4x+4y=2 2x+2y=1 .. z+3x+y=11 3-x-y+3x+y=11 2x=8 x=4 .. 2x+2y=1 8+2y=1 2y=-7 y=-7/2 .. z=3-x-y z=3-4+7/2 6-8+7 /2 =5/2 z=5/2