Solve {l}{2x-1=y}{-(3-y)=1}

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

Solve for x, y

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

$$y=4$$

Solution Steps

Consider the second equation. To find the opposite of 3-y, find the opposite of each term.

$$-3+y=1$$

Add 3 to both sides.

$$y=1+3$$

Add 1 and 3 to get 4.

$$y=4$$

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

$$2x-1=4$$

Add 1 to both sides.

$$2x=4+1$$

Add 4 and 1 to get 5.

$$2x=5$$

Divide both sides by 2.

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

The system is now solved.

$$x=\frac{5}{2} y=4$$