Solve for f
f=x-g+5+\frac{6}{x}
x\neq 0
Solve for g
g=x-f+5+\frac{6}{x}
x\neq 0
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fx+gx=x^{2}+5x+6
Use the distributive property to multiply f+g by x.
fx=x^{2}+5x+6-gx
Subtract gx from both sides.
xf=x^{2}-gx+5x+6
The equation is in standard form.
\frac{xf}{x}=\frac{x^{2}-gx+5x+6}{x}
Divide both sides by x.
f=\frac{x^{2}-gx+5x+6}{x}
Dividing by x undoes the multiplication by x.
f=x-g+5+\frac{6}{x}
Divide x^{2}+5x+6-gx by x.
fx+gx=x^{2}+5x+6
Use the distributive property to multiply f+g by x.
gx=x^{2}+5x+6-fx
Subtract fx from both sides.
xg=x^{2}-fx+5x+6
The equation is in standard form.
\frac{xg}{x}=\frac{x^{2}-fx+5x+6}{x}
Divide both sides by x.
g=\frac{x^{2}-fx+5x+6}{x}
Dividing by x undoes the multiplication by x.
g=x-f+5+\frac{6}{x}
Divide x^{2}+5x+6-fx by x.
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Limits
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