Solve {c}{-A/x=x/2+16}{x+2/7=4}

$$\left. \begin{array} { c } { - \frac { A } { x } = \frac { x } { 2 } + 16 } \\ { \frac { x + 2 } { 7 } = 4 } \end{array} \right.$$

Solve for A, x

$$x=26$$

$$A=-754$$

Solution Steps

Consider the second equation. Multiply both sides by 7.

$$x+2=4\times 7$$

Multiply 4 and 7 to get 28.

$$x+2=28$$

Subtract 2 from both sides.

$$x=28-2$$

Subtract 2 from 28 to get 26.

$$x=26$$

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

$$-\frac{A}{26}=\frac{26}{2}+16$$

Multiply both sides of the equation by 26, the least common multiple of 26,2.

$$-A=13\times 26+416$$

Multiply 13 and 26 to get 338.

$$-A=338+416$$

Add 338 and 416 to get 754.

$$-A=754$$

Divide both sides by -1.

$$A=-754$$

The system is now solved.

$$A=-754 x=26$$