Question 183947
x + y = 14
6x - 3y = 3

there are two ways to solve for this, i will use the elimination method:
3( x + y = 14)
6x - 3y = 3

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3x + 3y = 42
6x - 3y = 3
__________________
9x + 0 = 45
9x/9 = 45/9
x = 5
then:
x + y = 14
5 + y = 14
5 - 5 + y = 14 - 5
0 + y = 9

so the numbers are:  5 and 9
check: 
5 + 9 = 14
6(5) - 3(9) = 30 - 27 = 3
answer is correct