Solve operatorname{so}(108)x+(118)(50-x)=114(50)

$$\operatorname { so } ( 108 ) x + ( 118 ) ( 50 - x ) = 114 ( 50 )$$

Solve for o (complex solution)

$$\left\{\begin{matrix}o=-\frac{100-59x}{54sx}\text{, }&x\neq 0\text{ and }s\neq 0\\o\in \mathrm{C}\text{, }&x=\frac{100}{59}\text{ and }s=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply 118 by 50-x.

$$so\times 108x+5900-118x=114\times 50$$

Multiply 114 and 50 to get 5700.

$$so\times 108x+5900-118x=5700$$

Subtract 5900 from both sides.

$$so\times 108x-118x=5700-5900$$

Subtract 5900 from 5700 to get -200.

$$so\times 108x-118x=-200$$

Add 118x to both sides.

$$so\times 108x=-200+118x$$

The equation is in standard form.

$$108sxo=118x-200$$

Divide both sides by 108sx.

$$\frac{108sxo}{108sx}=\frac{118x-200}{108sx}$$

Dividing by 108sx undoes the multiplication by 108sx.

$$o=\frac{118x-200}{108sx}$$

Divide -200+118x by 108sx.

$$o=\frac{59x-100}{54sx}$$

Solve for s (complex solution)

$$\left\{\begin{matrix}s=-\frac{100-59x}{54ox}\text{, }&x\neq 0\text{ and }o\neq 0\\s\in \mathrm{C}\text{, }&x=\frac{100}{59}\text{ and }o=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply 118 by 50-x.

$$so\times 108x+5900-118x=114\times 50$$

Multiply 114 and 50 to get 5700.

$$so\times 108x+5900-118x=5700$$

Subtract 5900 from both sides.

$$so\times 108x-118x=5700-5900$$

Subtract 5900 from 5700 to get -200.

$$so\times 108x-118x=-200$$

Add 118x to both sides.

$$so\times 108x=-200+118x$$

The equation is in standard form.

$$108oxs=118x-200$$

Divide both sides by 108ox.

$$\frac{108oxs}{108ox}=\frac{118x-200}{108ox}$$

Dividing by 108ox undoes the multiplication by 108ox.

$$s=\frac{118x-200}{108ox}$$

Divide -200+118x by 108ox.

$$s=\frac{59x-100}{54ox}$$

Solve for o

$$\left\{\begin{matrix}o=-\frac{100-59x}{54sx}\text{, }&x\neq 0\text{ and }s\neq 0\\o\in \mathrm{R}\text{, }&x=\frac{100}{59}\text{ and }s=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply 118 by 50-x.

$$so\times 108x+5900-118x=114\times 50$$

Multiply 114 and 50 to get 5700.

$$so\times 108x+5900-118x=5700$$

Subtract 5900 from both sides.

$$so\times 108x-118x=5700-5900$$

Subtract 5900 from 5700 to get -200.

$$so\times 108x-118x=-200$$

Add 118x to both sides.

$$so\times 108x=-200+118x$$

The equation is in standard form.

$$108sxo=118x-200$$

Divide both sides by 108sx.

$$\frac{108sxo}{108sx}=\frac{118x-200}{108sx}$$

Dividing by 108sx undoes the multiplication by 108sx.

$$o=\frac{118x-200}{108sx}$$

Divide -200+118x by 108sx.

$$o=\frac{59x-100}{54sx}$$

Solve for s

$$\left\{\begin{matrix}s=-\frac{100-59x}{54ox}\text{, }&x\neq 0\text{ and }o\neq 0\\s\in \mathrm{R}\text{, }&x=\frac{100}{59}\text{ and }o=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply 118 by 50-x.

$$so\times 108x+5900-118x=114\times 50$$

Multiply 114 and 50 to get 5700.

$$so\times 108x+5900-118x=5700$$

Subtract 5900 from both sides.

$$so\times 108x-118x=5700-5900$$

Subtract 5900 from 5700 to get -200.

$$so\times 108x-118x=-200$$

Add 118x to both sides.

$$so\times 108x=-200+118x$$

The equation is in standard form.

$$108oxs=118x-200$$

Divide both sides by 108ox.

$$\frac{108oxs}{108ox}=\frac{118x-200}{108ox}$$

Dividing by 108ox undoes the multiplication by 108ox.

$$s=\frac{118x-200}{108ox}$$

Divide -200+118x by 108ox.

$$s=\frac{59x-100}{54ox}$$