Solve {l}{-kx+y+k-1=0}{x=2}{y=-3}

$$\left. \begin{array} { l } { - k x + y + k - 1 = 0 } \\ { x = 2 } \\ { y = - 3 } \end{array} \right.$$

Solve for k, x, y

$$x=2$$

$$y=-3$$

$$k=-4$$

Solution Steps

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

$$\left(-k\right)\times 2-3+k-1=0$$

Subtract 1 from -3 to get -4.

$$\left(-k\right)\times 2-4+k=0$$

Add 4 to both sides. Anything plus zero gives itself.

$$\left(-k\right)\times 2+k=4$$

Multiply -1 and 2 to get -2.

$$-2k+k=4$$

Combine -2k and k to get -k.

$$-k=4$$

Divide both sides by -1.

$$k=-4$$

The system is now solved.

$$k=-4 x=2 y=-3$$