Solve {l}{8p+7q=43}{2p-7=-9}

$$\left. \begin{array} { l } { 8 p + 7 q = 43 } \\ { 2 p - 7 = - 9 } \end{array} \right.$$

Solve for p, q

$$p=-1$$

$$q = \frac{51}{7} = 7\frac{2}{7} \approx 7.285714286$$

Solution Steps

Consider the second equation. Add 7 to both sides.

$$2p=-9+7$$

Add -9 and 7 to get -2.

$$2p=-2$$

Divide both sides by 2.

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

Divide -2 by 2 to get -1.

$$p=-1$$

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

$$8\left(-1\right)+7q=43$$

Multiply 8 and -1 to get -8.

$$-8+7q=43$$

Add 8 to both sides.

$$7q=43+8$$

Add 43 and 8 to get 51.

$$7q=51$$

Divide both sides by 7.

$$q=\frac{51}{7}$$

The system is now solved.

$$p=-1 q=\frac{51}{7}$$