Solve 2.01T_{2}-T_{2}=120b

$$2.01 T _ { 2 } - T _ { 2 } = 120 b$$

Solve for T_2

$$T_{2}=\frac{12000b}{101}$$

Steps for Solving Linear Equation

Combine 2.01T_{2} and -T_{2} to get 1.01T_{2}.

$$1.01T_{2}=120b$$

Divide both sides of the equation by 1.01, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{1.01T_{2}}{1.01}=\frac{120b}{1.01}$$

Dividing by 1.01 undoes the multiplication by 1.01.

$$T_{2}=\frac{120b}{1.01}$$

Divide 120b by 1.01 by multiplying 120b by the reciprocal of 1.01.

$$T_{2}=\frac{12000b}{101}$$

Solve for b

$$b=\frac{101T_{2}}{12000}$$

Steps for Solving Linear Equation

Combine 2.01T_{2} and -T_{2} to get 1.01T_{2}.

$$1.01T_{2}=120b$$

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

$$120b=1.01T_{2}$$

The equation is in standard form.

$$120b=\frac{101T_{2}}{100}$$

Divide both sides by 120.

$$\frac{120b}{120}=\frac{101T_{2}}{100\times 120}$$

Dividing by 120 undoes the multiplication by 120.

$$b=\frac{101T_{2}}{100\times 120}$$

Divide \frac{101T_{2}}{100} by 120.

$$b=\frac{101T_{2}}{12000}$$