Solve {l}{4+x=2y}{2x-4=1}

$$\left. \begin{array} { l } { 4 + x = 2 y } \\ { 2 x - 4 = 1 } \end{array} \right.$$

Solve for x, y

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

$$y = \frac{13}{4} = 3\frac{1}{4} = 3.25$$

Solution Steps

Consider the second equation. Add 4 to both sides.

$$2x=1+4$$

Add 1 and 4 to get 5.

$$2x=5$$

Divide both sides by 2.

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

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

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

Add 4 and \frac{5}{2} to get \frac{13}{2}.

$$\frac{13}{2}=2y$$

Swap sides so that all variable terms are on the left hand side.

$$2y=\frac{13}{2}$$

Divide both sides by 2.

$$y=\frac{\frac{13}{2}}{2}$$

Express \frac{\frac{13}{2}}{2} as a single fraction.

$$y=\frac{13}{2\times 2}$$

Multiply 2 and 2 to get 4.

$$y=\frac{13}{4}$$

The system is now solved.

$$x=\frac{5}{2} y=\frac{13}{4}$$