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The given expressions are:
5x + 5y = 30
3x - 5y = -30
Combine both equations to get:
5x + 3x + 5y - 5y = -30 + 30
8x = 0
Then:
8x/8 = 0/8
x = 0
Substitute that value for either of the expressions to get:
5(0) + 5y = 30
5y = 30
y = 30/5
y = 6
Therefore, the coordinates are x = 0 and y = 6.
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