SOLUTION: twice one number plus three times another equals -14. The first number minus 3 equals the second number. What is the value of the larger number?

Question 632386: twice one number plus three times another equals -14. The first number minus 3 equals the second number. What is the value of the larger number?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Let x = one number
Let y = another number
:
twice one number plus three times another equals -14.
2x + 3y = -14
:
The first number minus 3 equals the second number.
x - 3 = y
:
In the 1st equation, replace y with (x-3)
2x + 3(x-3) = -14
2x + 3x - 9 = -14
5x = -14 + 9
5x = -5
x = -1, is the larger number (most positive)
:
You can find y, check your solutions in the 1st equation

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