Solve 1/r-1+7=1

$$\frac { 1 } { r - 1 } + 7 = 1$$

Solve for r

$$r=\frac{5}{6}\approx 0.833333333$$

Steps for Solving Linear Equation

Variable r cannot be equal to 1 since division by zero is not defined. Multiply both sides of the equation by r-1.

$$1+\left(r-1\right)\times 7=r-1$$

Use the distributive property to multiply r-1 by 7.

$$1+7r-7=r-1$$

Subtract 7 from 1 to get -6.

$$-6+7r=r-1$$

Subtract r from both sides.

$$-6+7r-r=-1$$

Combine 7r and -r to get 6r.

$$-6+6r=-1$$

Add 6 to both sides.

$$6r=-1+6$$

Add -1 and 6 to get 5.

$$6r=5$$

Divide both sides by 6.

$$r=\frac{5}{6}$$