Solve {l}{y+x-xy=0}{-4-x+1=0}

$$\left\{ \begin{array} { l } { y + x - x y = 0 } \\ { - 4 - x + 1 = 0 } \end{array} \right.$$

Solve for y, x

$$x=-3$$

$$y=\frac{3}{4}=0.75$$

Solution Steps

Consider the second equation. Add -4 and 1 to get -3.

$$-3-x=0$$

Add 3 to both sides. Anything plus zero gives itself.

$$-x=3$$

Divide both sides by -1.

$$x=-3$$

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

$$y-3-\left(-3y\right)=0$$

Multiply -1 and -3 to get 3.

$$y-3+3y=0$$

Combine y and 3y to get 4y.

$$4y-3=0$$

Add 3 to both sides. Anything plus zero gives itself.

$$4y=3$$

Divide both sides by 4.

$$y=\frac{3}{4}$$

The system is now solved.

$$y=\frac{3}{4} x=-3$$