Question 191406
2x-3/4y=17
-3x-5/8y=-11 
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1st: get rid of the fractions:
  8x - 3y = 68
-24x - 5y = -88
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2nd: Multiply thru the 1st equation to set up the system for elimination:
24x - 9y = 204
-24x - 5y = -88
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3rd: Add and solve for "y":
-14y = 116
y = -58/7
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Substitute to solve for "x":
8x - 3(-56/7) = 68
8x + 174/7 = 68
8x = +302/7
x = 151/28
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Cheers,
Stan H.