Solve {l}{a/3*5=x}{x-9=7}

$$\left. \begin{array} { l } { \frac { a } { 3 } \times 5 = x } \\ { x - 9 = 7 } \end{array} \right.$$

Solve for a, x

$$x=16$$

$$a = \frac{48}{5} = 9\frac{3}{5} = 9.6$$

Solution Steps

Consider the second equation. Add 9 to both sides.

$$x=7+9$$

Add 7 and 9 to get 16.

$$x=16$$

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

$$\frac{a}{3}\times 5=16$$

Divide both sides by 5.

$$\frac{a}{3}=\frac{16}{5}$$

Multiply both sides by 3.

$$a=\frac{16}{5}\times 3$$

Multiply \frac{16}{5} and 3 to get \frac{48}{5}.

$$a=\frac{48}{5}$$

The system is now solved.

$$a=\frac{48}{5} x=16$$