Question 1034664
You are correct... (see below)

4x-3y=10
2x-5=3/2y 
.
move y's to the left and constants to the right
4x-3y=10
2x-3/2y=5
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4x-3y=10
4x-3y=10
.
4x-3y=10
-4x+3y=-10
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0 = 0 
If the elimination produces the equation 0=0, then the two equations are for the same line.  This means that there are an infinite number of solutions.