Solve 0.6T_{1}+0.8T_{2}=69

$$0.6 T _ { 1 } + 0.8 T _ { 2 } = 69$$

Solve for T_1

$$T_{1}=-\frac{4T_{2}}{3}+115$$

Steps for Solving Linear Equation

Subtract 0.8T_{2} from both sides.

$$0.6T_{1}=69-0.8T_{2}$$

The equation is in standard form.

$$0.6T_{1}=-\frac{4T_{2}}{5}+69$$

Divide both sides of the equation by 0.6, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{0.6T_{1}}{0.6}=\frac{-\frac{4T_{2}}{5}+69}{0.6}$$

Dividing by 0.6 undoes the multiplication by 0.6.

$$T_{1}=\frac{-\frac{4T_{2}}{5}+69}{0.6}$$

Divide 69-\frac{4T_{2}}{5} by 0.6 by multiplying 69-\frac{4T_{2}}{5} by the reciprocal of 0.6.

$$T_{1}=-\frac{4T_{2}}{3}+115$$

Solve for T_2

$$T_{2}=\frac{345-3T_{1}}{4}$$

Steps for Solving Linear Equation

Subtract 0.6T_{1} from both sides.

$$0.8T_{2}=69-0.6T_{1}$$

The equation is in standard form.

$$0.8T_{2}=-\frac{3T_{1}}{5}+69$$

Divide both sides of the equation by 0.8, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{0.8T_{2}}{0.8}=\frac{-\frac{3T_{1}}{5}+69}{0.8}$$

Dividing by 0.8 undoes the multiplication by 0.8.

$$T_{2}=\frac{-\frac{3T_{1}}{5}+69}{0.8}$$

Divide 69-\frac{3T_{1}}{5} by 0.8 by multiplying 69-\frac{3T_{1}}{5} by the reciprocal of 0.8.

$$T_{2}=\frac{345-3T_{1}}{4}$$