Question 841452
Multiply everything in equation 1 by 3 to get 3x + 9y = 18


now add the equations


3x + 9y = 18
5x - 9y = 14
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8x + 0y = 32


8x = 32


x = 32/8


x = 4


Once we know x, we can figure out y


x + 3y = 6


4 + 3y = 6


3y = 6-4


3y = 2


y = 2/3


The solution is <img src="http://latex.codecogs.com/gif.latex?\left(4,\frac{2}{3}&space;\right&space;)" title="\left(4,\frac{2}{3} \right )" />