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5x+3y=0
Multiply 0 and 17 to get 0.
5x=-3y
Subtract 3y from both sides. Anything subtracted from zero gives its negation.
\frac{5x}{5}=-\frac{3y}{5}
Divide both sides by 5.
x=-\frac{3y}{5}
Dividing by 5 undoes the multiplication by 5.
5x+3y=0
Multiply 0 and 17 to get 0.
3y=-5x
Subtract 5x from both sides. Anything subtracted from zero gives its negation.
\frac{3y}{3}=-\frac{5x}{3}
Divide both sides by 3.
y=-\frac{5x}{3}
Dividing by 3 undoes the multiplication by 3.