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