Solve for m (complex solution)
\left\{\begin{matrix}m=-\frac{y}{7-x}\text{, }&x\neq 7\\m\in \mathrm{C}\text{, }&y=0\text{ and }x=7\end{matrix}\right.
Solve for x (complex solution)
\left\{\begin{matrix}x=\frac{y}{m}+7\text{, }&m\neq 0\\x\in \mathrm{C}\text{, }&y=0\text{ and }m=0\end{matrix}\right.
Solve for m
\left\{\begin{matrix}m=-\frac{y}{7-x}\text{, }&x\neq 7\\m\in \mathrm{R}\text{, }&y=0\text{ and }x=7\end{matrix}\right.
Solve for x
\left\{\begin{matrix}x=\frac{y}{m}+7\text{, }&m\neq 0\\x\in \mathrm{R}\text{, }&y=0\text{ and }m=0\end{matrix}\right.
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y=xm-7m
Use the distributive property to multiply x-7 by m.
xm-7m=y
Swap sides so that all variable terms are on the left hand side.
\left(x-7\right)m=y
Combine all terms containing m.
\frac{\left(x-7\right)m}{x-7}=\frac{y}{x-7}
Divide both sides by x-7.
m=\frac{y}{x-7}
Dividing by x-7 undoes the multiplication by x-7.
y=xm-7m
Use the distributive property to multiply x-7 by m.
xm-7m=y
Swap sides so that all variable terms are on the left hand side.
xm=y+7m
Add 7m to both sides.
mx=y+7m
The equation is in standard form.
\frac{mx}{m}=\frac{y+7m}{m}
Divide both sides by m.
x=\frac{y+7m}{m}
Dividing by m undoes the multiplication by m.
x=\frac{y}{m}+7
Divide y+7m by m.
y=xm-7m
Use the distributive property to multiply x-7 by m.
xm-7m=y
Swap sides so that all variable terms are on the left hand side.
\left(x-7\right)m=y
Combine all terms containing m.
\frac{\left(x-7\right)m}{x-7}=\frac{y}{x-7}
Divide both sides by x-7.
m=\frac{y}{x-7}
Dividing by x-7 undoes the multiplication by x-7.
y=xm-7m
Use the distributive property to multiply x-7 by m.
xm-7m=y
Swap sides so that all variable terms are on the left hand side.
xm=y+7m
Add 7m to both sides.
mx=y+7m
The equation is in standard form.
\frac{mx}{m}=\frac{y+7m}{m}
Divide both sides by m.
x=\frac{y+7m}{m}
Dividing by m undoes the multiplication by m.
x=\frac{y}{m}+7
Divide y+7m by m.
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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