Solve for x
x=\frac{900}{y}
y\neq 0
Solve for y
y=\frac{900}{x}
x\neq 0
Graph
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180xy-60000+600xy=642000
Use the distributive property to multiply 30 by 6xy-2000.
780xy-60000=642000
Combine 180xy and 600xy to get 780xy.
780xy=642000+60000
Add 60000 to both sides.
780xy=702000
Add 642000 and 60000 to get 702000.
780yx=702000
The equation is in standard form.
\frac{780yx}{780y}=\frac{702000}{780y}
Divide both sides by 780y.
x=\frac{702000}{780y}
Dividing by 780y undoes the multiplication by 780y.
x=\frac{900}{y}
Divide 702000 by 780y.
180xy-60000+600xy=642000
Use the distributive property to multiply 30 by 6xy-2000.
780xy-60000=642000
Combine 180xy and 600xy to get 780xy.
780xy=642000+60000
Add 60000 to both sides.
780xy=702000
Add 642000 and 60000 to get 702000.
\frac{780xy}{780x}=\frac{702000}{780x}
Divide both sides by 780x.
y=\frac{702000}{780x}
Dividing by 780x undoes the multiplication by 780x.
y=\frac{900}{x}
Divide 702000 by 780x.
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