Solve x*(56-lambda)=18.10

$$x \cdot ( 56 - \lambda ) = 18.10$$

Solve for x

$$x=\frac{181}{10\left(56-\lambda \right)}$$

$$\lambda \neq 56$$

Steps for Solving Linear Equation

Use the distributive property to multiply x by 56-\lambda .

$$56x-x\lambda =18.1$$

Combine all terms containing x.

$$\left(56-\lambda \right)x=18.1$$

Divide both sides by 56-\lambda .

$$\frac{\left(56-\lambda \right)x}{56-\lambda }=\frac{18.1}{56-\lambda }$$

Dividing by 56-\lambda undoes the multiplication by 56-\lambda .

$$x=\frac{18.1}{56-\lambda }$$

Divide 18.1 by 56-\lambda .

$$x=\frac{181}{10\left(56-\lambda \right)}$$

Solve for λ

$$\lambda =56-\frac{181}{10x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Use the distributive property to multiply x by 56-\lambda .

$$56x-x\lambda =18.1$$

Subtract 56x from both sides.

$$-x\lambda =18.1-56x$$

The equation is in standard form.

$$\left(-x\right)\lambda =18.1-56x$$

Divide both sides by -x.

$$\frac{\left(-x\right)\lambda }{-x}=\frac{18.1-56x}{-x}$$

Dividing by -x undoes the multiplication by -x.

$$\lambda =\frac{18.1-56x}{-x}$$

Divide 18.1-56x by -x.

$$\lambda =56-\frac{181}{10x}$$