dx+b=7(x-d)-এর সমাধান করুন

$$d x + b = 7 ( x - d )$$

Solve for d (complex solution)

$$\left\{\begin{matrix}d=-\frac{b-7x}{x+7}\text{, }&x\neq -7\\d\in \mathrm{C}\text{, }&x=-7\text{ and }b=-49\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply 7 by x-d.

$$dx+b=7x-7d$$

Add 7d to both sides.

$$dx+b+7d=7x$$

Subtract b from both sides.

$$dx+7d=7x-b$$

Combine all terms containing d.

$$\left(x+7\right)d=7x-b$$

Divide both sides by x+7.

$$\frac{\left(x+7\right)d}{x+7}=\frac{7x-b}{x+7}$$

Dividing by x+7 undoes the multiplication by x+7.

$$d=\frac{7x-b}{x+7}$$

Solve for b

$$b=-\left(dx-7x+7d\right)$$

Solution Steps

Use the distributive property to multiply 7 by x-d.

$$dx+b=7x-7d$$

Subtract dx from both sides.

$$b=7x-7d-dx$$

Solve for d

$$\left\{\begin{matrix}d=-\frac{b-7x}{x+7}\text{, }&x\neq -7\\d\in \mathrm{R}\text{, }&x=-7\text{ and }b=-49\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply 7 by x-d.

$$dx+b=7x-7d$$

Add 7d to both sides.

$$dx+b+7d=7x$$

Subtract b from both sides.

$$dx+7d=7x-b$$

Combine all terms containing d.

$$\left(x+7\right)d=7x-b$$

Divide both sides by x+7.

$$\frac{\left(x+7\right)d}{x+7}=\frac{7x-b}{x+7}$$

Dividing by x+7 undoes the multiplication by x+7.

$$d=\frac{7x-b}{x+7}$$