Solve for x
x=2
y=3
Solve for y
y=3
x=2
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\sqrt{x-2}+\sqrt{y-3}-\sqrt{y-3}=-\sqrt{y-3}
Subtract \sqrt{y-3} from both sides of the equation.
\sqrt{x-2}=-\sqrt{y-3}
Subtracting \sqrt{y-3} from itself leaves 0.
x-2=y-3
Square both sides of the equation.
x-2-\left(-2\right)=y-3-\left(-2\right)
Add 2 to both sides of the equation.
x=y-3-\left(-2\right)
Subtracting -2 from itself leaves 0.
x=y-1
Subtract -2 from y-3.
\sqrt{y-3}+\sqrt{x-2}-\sqrt{x-2}=-\sqrt{x-2}
Subtract \sqrt{x-2} from both sides of the equation.
\sqrt{y-3}=-\sqrt{x-2}
Subtracting \sqrt{x-2} from itself leaves 0.
y-3=x-2
Square both sides of the equation.
y-3-\left(-3\right)=x-2-\left(-3\right)
Add 3 to both sides of the equation.
y=x-2-\left(-3\right)
Subtracting -3 from itself leaves 0.
y=x+1
Subtract -3 from x-2.
Examples
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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