Solve for x
x=\frac{\sqrt{5}y-10}{5}
Solve for y
y=\sqrt{5}\left(x+2\right)
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5x=\sqrt{5}y-10
Subtract 10 from both sides.
\frac{5x}{5}=\frac{\sqrt{5}y-10}{5}
Divide both sides by 5.
x=\frac{\sqrt{5}y-10}{5}
Dividing by 5 undoes the multiplication by 5.
x=\frac{\sqrt{5}y}{5}-2
Divide \sqrt{5}y-10 by 5.
\sqrt{5}y=5x+10
Swap sides so that all variable terms are on the left hand side.
\frac{\sqrt{5}y}{\sqrt{5}}=\frac{5x+10}{\sqrt{5}}
Divide both sides by \sqrt{5}.
y=\frac{5x+10}{\sqrt{5}}
Dividing by \sqrt{5} undoes the multiplication by \sqrt{5}.
y=\sqrt{5}\left(x+2\right)
Divide 10+5x by \sqrt{5}.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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