Solve -1/17.321+1/x=1

$$- \frac { 1 } { 17.321 } + \frac { 1 } { x } = 1$$

Solve for x

$$x=\frac{17321}{18321}\approx 0.945417827$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$-x\times \frac{1}{17.321}+1=x$$

Expand \frac{1}{17.321} by multiplying both numerator and the denominator by 1000.

$$-x\times \frac{1000}{17321}+1=x$$

Subtract x from both sides.

$$-x\times \frac{1000}{17321}+1-x=0$$

Subtract 1 from both sides. Anything subtracted from zero gives its negation.

$$-x\times \frac{1000}{17321}-x=-1$$

Multiply -1 and \frac{1000}{17321} to get -\frac{1000}{17321}.

$$-\frac{1000}{17321}x-x=-1$$

Combine -\frac{1000}{17321}x and -x to get -\frac{18321}{17321}x.

$$-\frac{18321}{17321}x=-1$$

Multiply both sides by -\frac{17321}{18321}, the reciprocal of -\frac{18321}{17321}.

$$x=-\left(-\frac{17321}{18321}\right)$$

Multiply -1 and -\frac{17321}{18321} to get \frac{17321}{18321}.

$$x=\frac{17321}{18321}$$