Question 315903
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The point of intersection is simply the solution to:
3x-4y=2
-2x+y=1 
Solve by the addition method.  Multiply the bottom equation by 4 and add:
3x-4y=2
-8x+4y=4 
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-5x = 6
x = -6/5
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Plug above into second equation and solve for y:
-2x+y=1 
-2(-6/5)+y=1 
12/5+y=1 
y = 1-12/5
y = 5/5-12/5
y = -7/5
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Point of intersection:
(-6/5, -7/5)