Solve 17/h-17/h-8=4/h

$$\frac { 17 } { h } - \frac { 17 } { h - 8 } = \frac { 4 } { h }$$

Solve for h

$$h=-26$$

Steps for Solving Linear Equation

Variable h cannot be equal to any of the values 0,8 since division by zero is not defined. Multiply both sides of the equation by h\left(h-8\right), the least common multiple of h,h-8.

$$\left(h-8\right)\times 17-h\times 17=\left(h-8\right)\times 4$$

Use the distributive property to multiply h-8 by 17.

$$17h-136-h\times 17=\left(h-8\right)\times 4$$

Use the distributive property to multiply h-8 by 4.

$$17h-136-h\times 17=4h-32$$

Subtract 4h from both sides.

$$17h-136-h\times 17-4h=-32$$

Combine 17h and -4h to get 13h.

$$13h-136-h\times 17=-32$$

Add 136 to both sides.

$$13h-h\times 17=-32+136$$

Add -32 and 136 to get 104.

$$13h-h\times 17=104$$

Multiply -1 and 17 to get -17.

$$13h-17h=104$$

Combine 13h and -17h to get -4h.

$$-4h=104$$

Divide both sides by -4.

$$h=\frac{104}{-4}$$

Divide 104 by -4 to get -26.

$$h=-26$$