Solve 1200=(s)(8)(t_{2}-20)

$$1200 = ( s ) ( 8 ) ( t _ { 2 } - 20 )$$

Solve for s

$$s=-\frac{150}{20-t_{2}}$$

$$t_{2}\neq 20$$

Steps for Solving Linear Equation

Use the distributive property to multiply s\times 8 by t_{2}-20.

$$1200=8st_{2}-20s\times 8$$

Multiply -20 and 8 to get -160.

$$1200=8st_{2}-160s$$

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

$$8st_{2}-160s=1200$$

Combine all terms containing s.

$$\left(8t_{2}-160\right)s=1200$$

Divide both sides by 8t_{2}-160.

$$\frac{\left(8t_{2}-160\right)s}{8t_{2}-160}=\frac{1200}{8t_{2}-160}$$

Dividing by 8t_{2}-160 undoes the multiplication by 8t_{2}-160.

$$s=\frac{1200}{8t_{2}-160}$$

Divide 1200 by 8t_{2}-160.

$$s=\frac{150}{t_{2}-20}$$

Solve for t_2

$$t_{2}=20+\frac{150}{s}$$

$$s\neq 0$$

Steps for Solving Linear Equation

Use the distributive property to multiply s\times 8 by t_{2}-20.

$$1200=8st_{2}-20s\times 8$$

Multiply -20 and 8 to get -160.

$$1200=8st_{2}-160s$$

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

$$8st_{2}-160s=1200$$

Add 160s to both sides.

$$8st_{2}=1200+160s$$

The equation is in standard form.

$$8st_{2}=160s+1200$$

Divide both sides by 8s.

$$\frac{8st_{2}}{8s}=\frac{160s+1200}{8s}$$

Dividing by 8s undoes the multiplication by 8s.

$$t_{2}=\frac{160s+1200}{8s}$$

Divide 1200+160s by 8s.

$$t_{2}=20+\frac{150}{s}$$