Type a math problem

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Type a math problem

Solve for m (complex solution)

\left\{\begin{matrix}m=\frac{y-b}{x}\text{, }&x\neq 0\\m\in \mathrm{C}\text{, }&b=y\text{ and }x=0\end{matrix}\right.

${m=xy−b ,m∈C, x =0b=yandx=0 $

Steps for Solving Linear Equation

b-y=-mx

$b−y=−mx$

Swap sides so that all variable terms are on the left hand side.

Swap sides so that all variable terms are on the left hand side.

\left(-m\right)x=b-y

$(−m)x=b−y$

Reorder the terms.

Reorder the terms.

-mx=-y+b

$−mx=−y+b$

The equation is in standard form.

The equation is in standard form.

\left(-x\right)m=b-y

$(−x)m=b−y$

Divide both sides by -x.

Divide both sides by $−x$.

\frac{\left(-x\right)m}{-x}=\frac{b-y}{-x}

$−x(−x)m =−xb−y $

Dividing by -x undoes the multiplication by -x.

Dividing by $−x$ undoes the multiplication by $−x$.

m=\frac{b-y}{-x}

$m=−xb−y $

Divide b-y by -x.

Divide $b−y$ by $−x$.

m=-\frac{b-y}{x}

$m=−xb−y $

Solve for x (complex solution)

\left\{\begin{matrix}x=\frac{y-b}{m}\text{, }&m\neq 0\\x\in \mathrm{C}\text{, }&b=y\text{ and }m=0\end{matrix}\right.

${x=my−b ,x∈C, m =0b=yandm=0 $

Steps for Solving Linear Equation

b-y=-mx

$b−y=−mx$

Swap sides so that all variable terms are on the left hand side.

Swap sides so that all variable terms are on the left hand side.

\left(-m\right)x=b-y

$(−m)x=b−y$

Divide both sides by -m.

Divide both sides by $−m$.

\frac{\left(-m\right)x}{-m}=\frac{b-y}{-m}

$−m(−m)x =−mb−y $

Dividing by -m undoes the multiplication by -m.

Dividing by $−m$ undoes the multiplication by $−m$.

x=\frac{b-y}{-m}

$x=−mb−y $

Divide b-y by -m.

Divide $b−y$ by $−m$.

x=-\frac{b-y}{m}

$x=−mb−y $

Solve for b

b=y-mx

$b=y−mx$

Solution Steps

b-y=-mx

$b−y=−mx$

Add y to both sides.

Add $y$ to both sides.

b=\left(-m\right)x+y

$b=(−m)x+y$

Reorder the terms.

Reorder the terms.

b=-mx+y

$b=−mx+y$

Solve for m

\left\{\begin{matrix}m=\frac{y-b}{x}\text{, }&x\neq 0\\m\in \mathrm{R}\text{, }&b=y\text{ and }x=0\end{matrix}\right.

${m=xy−b ,m∈R, x =0b=yandx=0 $

Steps for Solving Linear Equation

b-y=-mx

$b−y=−mx$

Swap sides so that all variable terms are on the left hand side.

Swap sides so that all variable terms are on the left hand side.

\left(-m\right)x=b-y

$(−m)x=b−y$

Reorder the terms.

Reorder the terms.

-mx=-y+b

$−mx=−y+b$

The equation is in standard form.

The equation is in standard form.

\left(-x\right)m=b-y

$(−x)m=b−y$

Divide both sides by -x.

Divide both sides by $−x$.

\frac{\left(-x\right)m}{-x}=\frac{b-y}{-x}

$−x(−x)m =−xb−y $

Dividing by -x undoes the multiplication by -x.

Dividing by $−x$ undoes the multiplication by $−x$.

m=\frac{b-y}{-x}

$m=−xb−y $

Divide b-y by -x.

Divide $b−y$ by $−x$.

m=-\frac{b-y}{x}

$m=−xb−y $

Solve for x

\left\{\begin{matrix}x=\frac{y-b}{m}\text{, }&m\neq 0\\x\in \mathrm{R}\text{, }&b=y\text{ and }m=0\end{matrix}\right.

${x=my−b ,x∈R, m =0b=yandm=0 $

Steps for Solving Linear Equation

b-y=-mx

$b−y=−mx$

Swap sides so that all variable terms are on the left hand side.

Swap sides so that all variable terms are on the left hand side.

\left(-m\right)x=b-y

$(−m)x=b−y$

Divide both sides by -m.

Divide both sides by $−m$.

\frac{\left(-m\right)x}{-m}=\frac{b-y}{-m}

$−m(−m)x =−mb−y $

Dividing by -m undoes the multiplication by -m.

Dividing by $−m$ undoes the multiplication by $−m$.

x=\frac{b-y}{-m}

$x=−mb−y $

Divide b-y by -m.

Divide $b−y$ by $−m$.

x=-\frac{b-y}{m}

$x=−mb−y $

Solve for y

y=mx+b

$y=mx+b$

Steps for Solving Linear Equation

b-y=-mx

$b−y=−mx$

Subtract b from both sides.

Subtract $b$ from both sides.

-y=\left(-m\right)x-b

$−y=(−m)x−b$

Reorder the terms.

Reorder the terms.

-y=-mx-b

$−y=−mx−b$

Divide both sides by -1.

Divide both sides by $−1$.

\frac{-y}{-1}=\frac{-mx-b}{-1}

$−1−y =−1−mx−b $

Dividing by -1 undoes the multiplication by -1.

Dividing by $−1$ undoes the multiplication by $−1$.

y=\frac{-mx-b}{-1}

$y=−1−mx−b $

Divide -mx-b by -1.

Divide $−mx−b$ by $−1$.

y=mx+b

$y=mx+b$

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\left(-m\right)x=b-y

Swap sides so that all variable terms are on the left hand side.

-mx=-y+b

Reorder the terms.

\left(-x\right)m=b-y

The equation is in standard form.

\frac{\left(-x\right)m}{-x}=\frac{b-y}{-x}

Divide both sides by -x.

m=\frac{b-y}{-x}

Dividing by -x undoes the multiplication by -x.

m=-\frac{b-y}{x}

Divide b-y by -x.

\left(-m\right)x=b-y

Swap sides so that all variable terms are on the left hand side.

\frac{\left(-m\right)x}{-m}=\frac{b-y}{-m}

Divide both sides by -m.

x=\frac{b-y}{-m}

Dividing by -m undoes the multiplication by -m.

x=-\frac{b-y}{m}

Divide b-y by -m.

b=\left(-m\right)x+y

Add y to both sides.

b=-mx+y

Reorder the terms.

\left(-m\right)x=b-y

Swap sides so that all variable terms are on the left hand side.

-mx=-y+b

Reorder the terms.

\left(-x\right)m=b-y

The equation is in standard form.

\frac{\left(-x\right)m}{-x}=\frac{b-y}{-x}

Divide both sides by -x.

m=\frac{b-y}{-x}

Dividing by -x undoes the multiplication by -x.

m=-\frac{b-y}{x}

Divide b-y by -x.

\left(-m\right)x=b-y

Swap sides so that all variable terms are on the left hand side.

\frac{\left(-m\right)x}{-m}=\frac{b-y}{-m}

Divide both sides by -m.

x=\frac{b-y}{-m}

Dividing by -m undoes the multiplication by -m.

x=-\frac{b-y}{m}

Divide b-y by -m.

-y=\left(-m\right)x-b

Subtract b from both sides.

-y=-mx-b

Reorder the terms.

\frac{-y}{-1}=\frac{-mx-b}{-1}

Divide both sides by -1.

y=\frac{-mx-b}{-1}

Dividing by -1 undoes the multiplication by -1.

y=mx+b

Divide -mx-b by -1.

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