Science:Math Exam Resources/Courses/MATH221/December 2019/Question 01 (b)/Statement

Consider the following linear system

$${\begin{aligned}-6x_{1}+6x_{2}=&-12\\x_{1}-x_{2}=&13\\ax_{1}-bx_{2}=&3\end{aligned}}$$

Find values $a,\;b,$ if they exist, such that the system is consistent. If such values do not exist, specify why they cannot exist.