Solve 91x-42y+sqrt{2}=4

$$91 x - 42 y + \sqrt { 2 } = 4$$

Solve for x

$$x=\frac{6y}{13}-\frac{\sqrt{2}}{91}+\frac{4}{91}$$

Steps for Solving Linear Equation

Add 42y to both sides.

$$91x+\sqrt{2}=4+42y$$

Subtract \sqrt{2} from both sides.

$$91x=4+42y-\sqrt{2}$$

The equation is in standard form.

$$91x=42y+4-\sqrt{2}$$

Divide both sides by 91.

$$\frac{91x}{91}=\frac{42y+4-\sqrt{2}}{91}$$

Dividing by 91 undoes the multiplication by 91.

$$x=\frac{42y+4-\sqrt{2}}{91}$$

Divide 4+42y-\sqrt{2} by 91.

$$x=\frac{6y}{13}-\frac{\sqrt{2}}{91}+\frac{4}{91}$$

Solve for y

$$y=\frac{91x+\sqrt{2}-4}{42}$$

Steps for Solving Linear Equation

Subtract 91x from both sides.

$$-42y+\sqrt{2}=4-91x$$

Subtract \sqrt{2} from both sides.

$$-42y=4-91x-\sqrt{2}$$

The equation is in standard form.

$$-42y=-91x+4-\sqrt{2}$$

Divide both sides by -42.

$$\frac{-42y}{-42}=\frac{-91x+4-\sqrt{2}}{-42}$$

Dividing by -42 undoes the multiplication by -42.

$$y=\frac{-91x+4-\sqrt{2}}{-42}$$

Divide 4-91x-\sqrt{2} by -42.

$$y=\frac{13x}{6}+\frac{\sqrt{2}}{42}-\frac{2}{21}$$