Solve for x
x=\frac{10000y-100790}{39767}
Solve for y
y=\frac{39767x}{10000}+10.079
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3.9767x+10.079=y
Swap sides so that all variable terms are on the left hand side.
3.9767x=y-10.079
Subtract 10.079 from both sides.
\frac{3.9767x}{3.9767}=\frac{y-10.079}{3.9767}
Divide both sides of the equation by 3.9767, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{y-10.079}{3.9767}
Dividing by 3.9767 undoes the multiplication by 3.9767.
x=\frac{10000y-100790}{39767}
Divide y-10.079 by 3.9767 by multiplying y-10.079 by the reciprocal of 3.9767.
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