Solve {l}{2x+1=y}{y+x=y}

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

Solve for x, y

$$x=0$$

$$y=1$$

Solution Steps

Consider the first equation. Subtract y from both sides.

$$2x+1-y=0$$

Subtract 1 from both sides. Anything subtracted from zero gives its negation.

$$2x-y=-1$$

Consider the second equation. Subtract y from both sides.

$$y+x-y=0$$

Combine y and -y to get 0.

$$x=0$$

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

$$2\times 0-y=-1$$

Multiply 2 and 0 to get 0.

$$0-y=-1$$

Anything plus zero gives itself.

$$-y=-1$$

Divide both sides by -1.

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

Divide -1 by -1 to get 1.

$$y=1$$

The system is now solved.

$$x=0 y=1$$