Solve {l}{2x+4-5=0}{y=-x+3}

$$\left. \begin{array} { l } { 2 x + 4 - 5 = 0 } \\ { y = - x + 3 } \end{array} \right.$$

Solve for x, y

$$x=\frac{1}{2}=0.5$$

$$y = \frac{5}{2} = 2\frac{1}{2} = 2.5$$

Solution Steps

Consider the first equation. Subtract 5 from 4 to get -1.

$$2x-1=0$$

Add 1 to both sides. Anything plus zero gives itself.

$$2x=1$$

Divide both sides by 2.

$$x=\frac{1}{2}$$

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

$$y=-\frac{1}{2}+3$$

Add -\frac{1}{2} and 3 to get \frac{5}{2}.

$$y=\frac{5}{2}$$

The system is now solved.

$$x=\frac{1}{2} y=\frac{5}{2}$$