Solve Ea+2b+sqrt{2}=5+sqrt{2}b

$$E a + 2 b + \sqrt { 2 } = 5 + \sqrt { 2 } b$$

Solve for E

$$\left\{\begin{matrix}E=-\frac{-\sqrt{2}b+2b+\sqrt{2}-5}{a}\text{, }&a\neq 0\\E\in \mathrm{R}\text{, }&b=\frac{3\sqrt{2}}{2}+4\text{ and }a=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract 2b from both sides.

$$Ea+\sqrt{2}=5+\sqrt{2}b-2b$$

Subtract \sqrt{2} from both sides.

$$Ea=5+\sqrt{2}b-2b-\sqrt{2}$$

The equation is in standard form.

$$aE=\sqrt{2}b-2b+5-\sqrt{2}$$

Divide both sides by a.

$$\frac{aE}{a}=\frac{\sqrt{2}b-2b+5-\sqrt{2}}{a}$$

Dividing by a undoes the multiplication by a.

$$E=\frac{\sqrt{2}b-2b+5-\sqrt{2}}{a}$$

Solve for a

$$\left\{\begin{matrix}a=-\frac{-\sqrt{2}b+2b+\sqrt{2}-5}{E}\text{, }&E\neq 0\\a\in \mathrm{R}\text{, }&b=\frac{3\sqrt{2}}{2}+4\text{ and }E=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract 2b from both sides.

$$Ea+\sqrt{2}=5+\sqrt{2}b-2b$$

Subtract \sqrt{2} from both sides.

$$Ea=5+\sqrt{2}b-2b-\sqrt{2}$$

The equation is in standard form.

$$Ea=\sqrt{2}b-2b+5-\sqrt{2}$$

Divide both sides by E.

$$\frac{Ea}{E}=\frac{\sqrt{2}b-2b+5-\sqrt{2}}{E}$$

Dividing by E undoes the multiplication by E.

$$a=\frac{\sqrt{2}b-2b+5-\sqrt{2}}{E}$$