Solve {l}{2u-2v=4}{4v=28}

$$\left. \begin{array}{l}{ 2 u - 2 v = 4 }\\{ 4 v = 28 }\end{array} \right.$$

Solve for u, v

$$u=9$$

$$v=7$$

Solution Steps

Consider the second equation. Divide both sides by 4.

$$v=\frac{28}{4}$$

Divide 28 by 4 to get 7.

$$v=7$$

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

$$2u-2\times 7=4$$

Multiply -2 and 7 to get -14.

$$2u-14=4$$

Add 14 to both sides.

$$2u=4+14$$

Add 4 and 14 to get 18.

$$2u=18$$

Divide both sides by 2.

$$u=\frac{18}{2}$$

Divide 18 by 2 to get 9.

$$u=9$$

The system is now solved.

$$u=9 v=7$$