Solve sqrt{6}y+sqrt{11}z=sqrt{3}

$$\sqrt { 6 } y + \sqrt { 11 } z = \sqrt { 3 }$$

Solve for y

$$y=\frac{-\sqrt{66}z+3\sqrt{2}}{6}$$

Steps for Solving Linear Equation

Subtract \sqrt{11}z from both sides.

$$\sqrt{6}y=\sqrt{3}-\sqrt{11}z$$

Reorder the terms.

$$\sqrt{6}y=-\sqrt{11}z+\sqrt{3}$$

Divide both sides by \sqrt{6}.

$$\frac{\sqrt{6}y}{\sqrt{6}}=\frac{-\sqrt{11}z+\sqrt{3}}{\sqrt{6}}$$

Dividing by \sqrt{6} undoes the multiplication by \sqrt{6}.

$$y=\frac{-\sqrt{11}z+\sqrt{3}}{\sqrt{6}}$$

Divide -\sqrt{11}z+\sqrt{3} by \sqrt{6}.

$$y=\frac{\sqrt{6}\left(-\sqrt{11}z+\sqrt{3}\right)}{6}$$

Solve for z

$$z=\frac{-\sqrt{66}y+\sqrt{33}}{11}$$

Steps for Solving Linear Equation

Subtract \sqrt{6}y from both sides.

$$\sqrt{11}z=\sqrt{3}-\sqrt{6}y$$

Reorder the terms.

$$\sqrt{11}z=-\sqrt{6}y+\sqrt{3}$$

Divide both sides by \sqrt{11}.

$$\frac{\sqrt{11}z}{\sqrt{11}}=\frac{-\sqrt{6}y+\sqrt{3}}{\sqrt{11}}$$

Dividing by \sqrt{11} undoes the multiplication by \sqrt{11}.

$$z=\frac{-\sqrt{6}y+\sqrt{3}}{\sqrt{11}}$$

Divide -\sqrt{6}y+\sqrt{3} by \sqrt{11}.

$$z=\frac{\sqrt{11}\left(-\sqrt{6}y+\sqrt{3}\right)}{11}$$