Solve 10-x/x-9=2.159-2.142/2.142-1.999

$$\frac { 10 - x } { x - 9 } = \frac { 2.159 - 2.142 } { 2.142 - 1.999 }$$

Solve for x

$$x=9.89375$$

Steps for Solving Linear Equation

Variable x cannot be equal to 9 since division by zero is not defined. Multiply both sides of the equation by x-9.

$$10-x=\left(\frac{1000}{143}x-\frac{9000}{143}\right)\left(2.159-2.142\right)$$

Subtract 2.142 from 2.159 to get 0.017.

$$10-x=\left(\frac{1000}{143}x-\frac{9000}{143}\right)\times 0.017$$

Use the distributive property to multiply \frac{1000}{143}x-\frac{9000}{143} by 0.017.

$$10-x=\frac{17}{143}x-\frac{153}{143}$$

Subtract \frac{17}{143}x from both sides.

$$10-x-\frac{17}{143}x=-\frac{153}{143}$$

Combine -x and -\frac{17}{143}x to get -\frac{160}{143}x.

$$10-\frac{160}{143}x=-\frac{153}{143}$$

Subtract 10 from both sides.

$$-\frac{160}{143}x=-\frac{153}{143}-10$$

Subtract 10 from -\frac{153}{143} to get -\frac{1583}{143}.

$$-\frac{160}{143}x=-\frac{1583}{143}$$

Divide both sides by -\frac{160}{143}.

$$x=\frac{-\frac{1583}{143}}{-\frac{160}{143}}$$