Solve {l}{3-y=5/1-x}{y=2}

$$\left. \begin{array} { l } { 3 - y = \frac { 5 } { 1 - x } } \\ { y = 2 } \end{array} \right.$$

Solve for y, x

$$x=-4$$

$$y=2$$

Solution Steps

Consider the first equation. Insert the known values of variables into the equation.

$$3-2=\frac{5}{1-x}$$

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

$$\left(-x+1\right)\times 3-2\left(-x+1\right)=5$$

Use the distributive property to multiply -x+1 by 3.

$$-3x+3-2\left(-x+1\right)=5$$

Use the distributive property to multiply -2 by -x+1.

$$-3x+3+2x-2=5$$

Combine -3x and 2x to get -x.

$$-x+3-2=5$$

Subtract 2 from 3 to get 1.

$$-x+1=5$$

Subtract 1 from both sides.

$$-x=5-1$$

Subtract 1 from 5 to get 4.

$$-x=4$$

Divide both sides by -1.

$$x=-4$$

The system is now solved.

$$y=2 x=-4$$