Answer:
x = 22/3 y = 20/9
Explanation:
2x-3y =8 x+3y=14
Add the two equations together to eliminate y
2x-3y =8
x+3y=14
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3x +0y = 22
Divide each side by 3
3x/3 = 22/3
x = 22/3
Then take the second equation and multiply by -2 and add to eliminate x
2x-3y =8
-2x-6y=-28
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-9y = -20
Divide by -9
-9y/-9 = -20/-9
y = 20/9
x = 22/3 y = 20/9