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50x+40y=51x+40\times 0\times 85y
Combine 50x and 1x to get 51x.
50x+40y=51x+0\times 85y
Multiply 40 and 0 to get 0.
50x+40y=51x+0y
Multiply 0 and 85 to get 0.
50x+40y=51x+0
Anything times zero gives zero.
50x+40y=51x
Anything plus zero gives itself.
50x+40y-51x=0
Subtract 51x from both sides.
-x+40y=0
Combine 50x and -51x to get -x.
-x=-40y
Subtract 40y from both sides. Anything subtracted from zero gives its negation.
\frac{-x}{-1}=-\frac{40y}{-1}
Divide both sides by -1.
x=-\frac{40y}{-1}
Dividing by -1 undoes the multiplication by -1.
x=40y
Divide -40y by -1.
50x+40y=51x+40\times 0\times 85y
Combine 50x and 1x to get 51x.
50x+40y=51x+0\times 85y
Multiply 40 and 0 to get 0.
50x+40y=51x+0y
Multiply 0 and 85 to get 0.
50x+40y=51x+0
Anything times zero gives zero.
50x+40y=51x
Anything plus zero gives itself.
40y=51x-50x
Subtract 50x from both sides.
40y=x
Combine 51x and -50x to get x.
\frac{40y}{40}=\frac{x}{40}
Divide both sides by 40.
y=\frac{x}{40}
Dividing by 40 undoes the multiplication by 40.