Solve for y (complex solution)
y=\frac{7\sqrt{x}}{2}
Solve for x
x=\frac{4y^{2}}{49}
y\geq 0
Solve for y
y=\frac{7\sqrt{x}}{2}
x\geq 0
Solve for x (complex solution)
x=\frac{4y^{2}}{49}
arg(y)<\pi \text{ or }y=0
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2y=7\sqrt{x}
Swap sides so that all variable terms are on the left hand side.
\frac{2y}{2}=\frac{7\sqrt{x}}{2}
Divide both sides by 2.
y=\frac{7\sqrt{x}}{2}
Dividing by 2 undoes the multiplication by 2.
\frac{7\sqrt{x}}{7}=\frac{2y}{7}
Divide both sides by 7.
\sqrt{x}=\frac{2y}{7}
Dividing by 7 undoes the multiplication by 7.
x=\frac{4y^{2}}{49}
Square both sides of the equation.
2y=7\sqrt{x}
Swap sides so that all variable terms are on the left hand side.
\frac{2y}{2}=\frac{7\sqrt{x}}{2}
Divide both sides by 2.
y=\frac{7\sqrt{x}}{2}
Dividing by 2 undoes the multiplication by 2.
Examples
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Matrix
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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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