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

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

Solve for x, y

$$x=-1$$

$$y = -\frac{11}{2} = -5\frac{1}{2} = -5.5$$

Solution Steps

Consider the first equation. Subtract 7 from both sides.

$$2x=5-7$$

Subtract 7 from 5 to get -2.

$$2x=-2$$

Divide both sides by 2.

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

Divide -2 by 2 to get -1.

$$x=-1$$

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

$$4\left(-1\right)-2y=7$$

Multiply 4 and -1 to get -4.

$$-4-2y=7$$

Add 4 to both sides.

$$-2y=7+4$$

Add 7 and 4 to get 11.

$$-2y=11$$

Divide both sides by -2.

$$y=-\frac{11}{2}$$

The system is now solved.

$$x=-1 y=-\frac{11}{2}$$