Solve A_{1}=A(M+1)

$$A _ { 1 } = A ( M + 1 )$$

Solve for A

$$\left\{\begin{matrix}A=\frac{A_{1}}{M+1}\text{, }&M\neq -1\\A\in \mathrm{R}\text{, }&A_{1}=0\text{ and }M=-1\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply A by M+1.

$$A_{1}=AM+A$$

Swap sides so that all variable terms are on the left hand side.

$$AM+A=A_{1}$$

Combine all terms containing A.

$$\left(M+1\right)A=A_{1}$$

Divide both sides by M+1.

$$\frac{\left(M+1\right)A}{M+1}=\frac{A_{1}}{M+1}$$

Dividing by M+1 undoes the multiplication by M+1.

$$A=\frac{A_{1}}{M+1}$$

Solve for A_1

$$A_{1}=A\left(M+1\right)$$

Solution Steps

Use the distributive property to multiply A by M+1.

$$A_{1}=AM+A$$