Solve {l}{g(n)=3}{4n-5/5=3}

$$\left. \begin{array} { l } { g ( n ) = 3 } \\ { \frac { 4 n - 5 } { 5 } = 3 } \end{array} \right.$$

Solve for g, n

$$g=\frac{3}{5}=0.6$$

$$n=5$$

Solution Steps

Consider the second equation. Multiply both sides by 5.

$$4n-5=3\times 5$$

Multiply 3 and 5 to get 15.

$$4n-5=15$$

Add 5 to both sides.

$$4n=15+5$$

Add 15 and 5 to get 20.

$$4n=20$$

Divide both sides by 4.

$$n=\frac{20}{4}$$

Divide 20 by 4 to get 5.

$$n=5$$

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

$$g\times 5=3$$

Divide both sides by 5.

$$g=\frac{3}{5}$$

The system is now solved.

$$g=\frac{3}{5} n=5$$