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4.6x=101.52-3.3y
Subtract 3.3y from both sides.
4.6x=-\frac{33y}{10}+101.52
The equation is in standard form.
\frac{4.6x}{4.6}=\frac{-\frac{33y}{10}+101.52}{4.6}
Divide both sides of the equation by 4.6, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{-\frac{33y}{10}+101.52}{4.6}
Dividing by 4.6 undoes the multiplication by 4.6.
x=-\frac{33y}{46}+\frac{2538}{115}
Divide 101.52-\frac{33y}{10} by 4.6 by multiplying 101.52-\frac{33y}{10} by the reciprocal of 4.6.
3.3y=101.52-4.6x
Subtract 4.6x from both sides.
3.3y=-\frac{23x}{5}+101.52
The equation is in standard form.
\frac{3.3y}{3.3}=\frac{-\frac{23x}{5}+101.52}{3.3}
Divide both sides of the equation by 3.3, which is the same as multiplying both sides by the reciprocal of the fraction.
y=\frac{-\frac{23x}{5}+101.52}{3.3}
Dividing by 3.3 undoes the multiplication by 3.3.
y=-\frac{46x}{33}+\frac{1692}{55}
Divide 101.52-\frac{23x}{5} by 3.3 by multiplying 101.52-\frac{23x}{5} by the reciprocal of 3.3.