Solve {l}{y=4/3x+4}{y=16/5}

$$\left. \begin{array} { l } { y = \frac { 4 } { 3 } x + 4 } \\ { y = \frac { 16 } { 5 } } \end{array} \right.$$

Solve for y, x

$$x=-\frac{3}{5}=-0.6$$

$$y = \frac{16}{5} = 3\frac{1}{5} = 3.2$$

Solution Steps

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

$$\frac{16}{5}=\frac{4}{3}x+4$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{4}{3}x+4=\frac{16}{5}$$

Subtract 4 from both sides.

$$\frac{4}{3}x=\frac{16}{5}-4$$

Subtract 4 from \frac{16}{5} to get -\frac{4}{5}.

$$\frac{4}{3}x=-\frac{4}{5}$$

Multiply both sides by \frac{3}{4}, the reciprocal of \frac{4}{3}.

$$x=-\frac{4}{5}\times \frac{3}{4}$$

Multiply -\frac{4}{5} and \frac{3}{4} to get -\frac{3}{5}.

$$x=-\frac{3}{5}$$

The system is now solved.

$$y=\frac{16}{5} x=-\frac{3}{5}$$