Solve {l}{2x-3x=k}{x-2x=-1}

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

Solve for x, k

$$x=1$$

$$k=-1$$

Solution Steps

Consider the second equation. Combine x and -2x to get -x.

$$-x=-1$$

Divide both sides by -1.

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

Divide -1 by -1 to get 1.

$$x=1$$

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

$$2\times 1-3=k$$

Do the multiplications.

$$2-3=k$$

Subtract 3 from 2 to get -1.

$$-1=k$$

Swap sides so that all variable terms are on the left hand side.

$$k=-1$$

The system is now solved.

$$x=1 k=-1$$