If 2x+ 3y = 55 and 4x= y+ 47, find x − y.
can you explain with some details?

4x=y+47, we can subtract 47 from both sides to get:
4x-47=y, now we know what y equals in terms of x, so we can substitute that in to the other equation:
2x+3y=55 becomes 2x+3*(4x-47)=55 which becomes:
2x+12x-141=55 which becomes 14x-141=55 and we can add 141 to both sides:
14x=196, divide 14 by both sides, we get x=14, which we can substitute back into the y=equation:
4x-47=y becomes 14*4-47=y which becomes y=9
x=14, y=9
x-y=14-9=5

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