Solve for x
x=-\frac{2y+1}{2-y}
y\neq 2
Solve for y
y=\frac{2x+1}{x-2}
x\neq 2
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y\left(x-2\right)=5+\left(x-2\right)\times 2
Variable x cannot be equal to 2 since division by zero is not defined. Multiply both sides of the equation by x-2.
yx-2y=5+\left(x-2\right)\times 2
Use the distributive property to multiply y by x-2.
yx-2y=5+2x-4
Use the distributive property to multiply x-2 by 2.
yx-2y=1+2x
Subtract 4 from 5 to get 1.
yx-2y-2x=1
Subtract 2x from both sides.
yx-2x=1+2y
Add 2y to both sides.
\left(y-2\right)x=1+2y
Combine all terms containing x.
\left(y-2\right)x=2y+1
The equation is in standard form.
\frac{\left(y-2\right)x}{y-2}=\frac{2y+1}{y-2}
Divide both sides by y-2.
x=\frac{2y+1}{y-2}
Dividing by y-2 undoes the multiplication by y-2.
x=\frac{2y+1}{y-2}\text{, }x\neq 2
Variable x cannot be equal to 2.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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