Solve {l}{2x-1=5}{4y+2x=7}

$$\left\{ \begin{array} { l } { 2 x - 1 = 5 } \\ { 4 y + 2 x = 7 } \end{array} \right.$$

Solve for x, y

$$x=3$$

$$y=\frac{1}{4}=0.25$$

Solution Steps

Consider the first equation. Add 1 to both sides.

$$2x=5+1$$

Add 5 and 1 to get 6.

$$2x=6$$

Divide both sides by 2.

$$x=\frac{6}{2}$$

Divide 6 by 2 to get 3.

$$x=3$$

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

$$4y+2\times 3=7$$

Multiply 2 and 3 to get 6.

$$4y+6=7$$

Subtract 6 from both sides.

$$4y=7-6$$

Subtract 6 from 7 to get 1.

$$4y=1$$

Divide both sides by 4.

$$y=\frac{1}{4}$$

The system is now solved.

$$x=3 y=\frac{1}{4}$$