Solve 0,824:(x-0,61)=2,06T

$$0,824 : ( x - 0,61 ) = 2,06 T$$

Solve for T

$$T=-\frac{103}{125\left(-\frac{103x}{50}+1,2566\right)}$$

$$x\neq \frac{61}{100}$$

Steps for Solving Linear Equation

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

$$2,06T=\frac{0,824}{x-0,61}$$

The equation is in standard form.

$$2,06T=\frac{103}{125\left(x-0,61\right)}$$

Divide both sides of the equation by 2,06, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{2,06T}{2,06}=\frac{103}{2,06\times 125\left(x-0,61\right)}$$

Dividing by 2,06 undoes the multiplication by 2,06.

$$T=\frac{103}{2,06\times 125\left(x-0,61\right)}$$

Divide \frac{103}{125\left(x-0,61\right)} by 2,06 by multiplying \frac{103}{125\left(x-0,61\right)} by the reciprocal of 2,06.

$$T=\frac{2}{5\left(x-0,61\right)}$$

Solve for x

$$x=0,61+\frac{2}{5T}$$

$$T\neq 0$$