Solve 900(90-T2)=16800(T2-2S)

$$900 ( 90 - T 2 ) = 16800 ( T 2 - 2 S )$$

Solve for S

$$S=\frac{59T_{2}}{112}-\frac{135}{56}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 900 by 90-T_{2}.

$$81000-900T_{2}=16800\left(T_{2}-2S\right)$$

Use the distributive property to multiply 16800 by T_{2}-2S.

$$81000-900T_{2}=16800T_{2}-33600S$$

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

$$16800T_{2}-33600S=81000-900T_{2}$$

Subtract 16800T_{2} from both sides.

$$-33600S=81000-900T_{2}-16800T_{2}$$

Combine -900T_{2} and -16800T_{2} to get -17700T_{2}.

$$-33600S=81000-17700T_{2}$$

Divide both sides by -33600.

$$\frac{-33600S}{-33600}=\frac{81000-17700T_{2}}{-33600}$$

Dividing by -33600 undoes the multiplication by -33600.

$$S=\frac{81000-17700T_{2}}{-33600}$$

Divide 81000-17700T_{2} by -33600.

$$S=\frac{59T_{2}}{112}-\frac{135}{56}$$

Solve for T_2

$$T_{2}=\frac{112S+270}{59}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 900 by 90-T_{2}.

$$81000-900T_{2}=16800\left(T_{2}-2S\right)$$

Use the distributive property to multiply 16800 by T_{2}-2S.

$$81000-900T_{2}=16800T_{2}-33600S$$

Subtract 16800T_{2} from both sides.

$$81000-900T_{2}-16800T_{2}=-33600S$$

Combine -900T_{2} and -16800T_{2} to get -17700T_{2}.

$$81000-17700T_{2}=-33600S$$

Subtract 81000 from both sides.

$$-17700T_{2}=-33600S-81000$$

Divide both sides by -17700.

$$\frac{-17700T_{2}}{-17700}=\frac{-33600S-81000}{-17700}$$

Dividing by -17700 undoes the multiplication by -17700.

$$T_{2}=\frac{-33600S-81000}{-17700}$$

Divide -33600S-81000 by -17700.

$$T_{2}=\frac{112S+270}{59}$$