Mathematics

Problem

Given that the matrices

A=\begin{bmatrix}2x & 3\\ y-1 & 5z\end{bmatrix},\quad B=\begin{bmatrix}7 & 3\\ 4 & 20\end{bmatrix}

are equal, answer the following: a. (i) Write down the system of equations obtained by equating the corresponding elements of

A

and

B

. b. (ii) Solve the system to determine the values of

x,\,y

and

z