Solve Ifa+b=10

$$I f a + b = 10$$

Solve for I

$$\left\{\begin{matrix}I=-\frac{b-10}{af}\text{, }&a\neq 0\text{ and }f\neq 0\\I\in \mathrm{R}\text{, }&\left(a=0\text{ or }f=0\right)\text{ and }b=10\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract b from both sides.

$$Ifa=10-b$$

The equation is in standard form.

$$afI=10-b$$

Divide both sides by fa.

$$\frac{afI}{af}=\frac{10-b}{af}$$

Dividing by fa undoes the multiplication by fa.

$$I=\frac{10-b}{af}$$

Solve for a

$$\left\{\begin{matrix}a=-\frac{b-10}{If}\text{, }&f\neq 0\text{ and }I\neq 0\\a\in \mathrm{R}\text{, }&\left(f=0\text{ or }I=0\right)\text{ and }b=10\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract b from both sides.

$$Ifa=10-b$$

Divide both sides by If.

$$\frac{Ifa}{If}=\frac{10-b}{If}$$

Dividing by If undoes the multiplication by If.

$$a=\frac{10-b}{If}$$