Question 721027
The sum of two numbers is 14 ----> x+y = 14


Solve for y to get y = 14 - x


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The larger number is 2 more than 3 times the smaller number ----> y = 3x + 2


Note: y is implied to be the larger number (in this case). You could easily make x the larger number (and it wouldn't change the final answer)

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y = 3x + 2


14 - x = 3x + 2 ... plug in y = 14 - x (ie replace y with 14 - x)


-x=3x+2-14


-x-3x=2-14


-4x=2-14


-4x=-12


x=(-12)/(-4)


x=3


Now that you know x = 3, you can use it to find y


y = 14 - x


y = 14 - 3


y = 11


So the solutions are x = 3 and y = 11


Therefore, the two numbers are 3 and 11