Solve s-7/s+3=s-9/s+5

$$\frac { s - 7 } { s + 3 } = \frac { s - 9 } { s + 5 }$$

Solve for s

$$s=2$$

Steps for Solving Linear Equation

Variable s cannot be equal to any of the values -5,-3 since division by zero is not defined. Multiply both sides of the equation by \left(s+3\right)\left(s+5\right), the least common multiple of s+3,s+5.

$$\left(s+5\right)\left(s-7\right)=\left(s+3\right)\left(s-9\right)$$

Use the distributive property to multiply s+5 by s-7 and combine like terms.

$$s^{2}-2s-35=\left(s+3\right)\left(s-9\right)$$

Use the distributive property to multiply s+3 by s-9 and combine like terms.

$$s^{2}-2s-35=s^{2}-6s-27$$

Subtract s^{2} from both sides.

$$s^{2}-2s-35-s^{2}=-6s-27$$

Combine s^{2} and -s^{2} to get 0.

$$-2s-35=-6s-27$$

Add 6s to both sides.

$$-2s-35+6s=-27$$

Combine -2s and 6s to get 4s.

$$4s-35=-27$$

Add 35 to both sides.

$$4s=-27+35$$

Add -27 and 35 to get 8.

$$4s=8$$

Divide both sides by 4.

$$s=\frac{8}{4}$$

Divide 8 by 4 to get 2.

$$s=2$$