Solve {l}{f{(x)}=ax+b}{text{Solvefor}g,htext{where}}{g=operatorname{A}(1,2)}{h=operatorname{B}(9,5)}

$$\left. \begin{array} { l } { f {(x)} = a x + b }\\ { \text{Solve for } g,h \text{ where} } \\ { g = \operatorname{A}(1, 2) }\\ { h = \operatorname{B}(9, 5) } \end{array} \right.$$

Solve for x

$$\left\{\begin{matrix}x=\frac{b}{f-a}\text{, }&f\neq a\\x\in \mathrm{R}\text{, }&b=0\text{ and }f=a\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract ax from both sides.

$$fx-ax=b$$

Combine all terms containing x.

$$\left(f-a\right)x=b$$

Divide both sides by f-a.

$$\frac{\left(f-a\right)x}{f-a}=\frac{b}{f-a}$$

Dividing by f-a undoes the multiplication by f-a.

$$x=\frac{b}{f-a}$$