Solve {c}{-4+11y=15}{x=2y}

$$\left. \begin{array} { c } { - 4 + 11 y = 15 } \\ { x = 2 y } \end{array} \right.$$

Solve for y, x

$$x = \frac{38}{11} = 3\frac{5}{11} \approx 3.454545455$$

$$y = \frac{19}{11} = 1\frac{8}{11} \approx 1.727272727$$

Solution Steps

Consider the first equation. Add 4 to both sides.

$$11y=15+4$$

Add 15 and 4 to get 19.

$$11y=19$$

Divide both sides by 11.

$$y=\frac{19}{11}$$

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

$$x=2\times \frac{19}{11}$$

Multiply 2 and \frac{19}{11} to get \frac{38}{11}.

$$x=\frac{38}{11}$$

The system is now solved.

$$y=\frac{19}{11} x=\frac{38}{11}$$