question_answer

Find the values of p and q for which the pair of linear equations \[\underset{4x}{\mathop{(3p+2q)\,x}}\,\underset{+7y}{\mathop{+(q+2p)\,y}}\,\underset{=29}{\mathop{=3p-q+1}}\,\] have infinitely many solutions.

A)  \[\frac{-5}{7},\frac{13}{14}\]

B)  \[\frac{2}{7},\frac{13}{14}\]

C)  \[\frac{-5}{7},\frac{2}{7}\]                   

D)  \[\frac{-3}{7},\frac{11}{14}\]

E)  None of these