Solve {l}{x+x=16}{6x+11y=126}

$$\left\{ \begin{array} { l } { x + x = 16 } \\ { 6 x + 11 y = 126 } \end{array} \right.$$

Solve for x, y

$$x=8$$

$$y = \frac{78}{11} = 7\frac{1}{11} \approx 7.090909091$$

Solution Steps

Consider the first equation. Combine x and x to get 2x.

$$2x=16$$

Divide both sides by 2.

$$x=\frac{16}{2}$$

Divide 16 by 2 to get 8.

$$x=8$$

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

$$6\times 8+11y=126$$

Multiply 6 and 8 to get 48.

$$48+11y=126$$

Subtract 48 from both sides.

$$11y=126-48$$

Subtract 48 from 126 to get 78.

$$11y=78$$

Divide both sides by 11.

$$y=\frac{78}{11}$$

The system is now solved.

$$x=8 y=\frac{78}{11}$$