1 1 vote Consider the following system of linear equations. $\begin{array}{llll} x_{1}+2x_{2}=b_{1} ; & 2x_{1}+4x_{2}=b_{2}; & 3x_{1}+7x_{2}=b_{3} ; & 3x_{1}+9x_{2}=b_{4} \end{array}$ Which one of the following conditions ensures that a solution exists for the above system? $b_{2}=2b_{1}$ and $6b_{1}-3b_{3}+b_{4}=0$ $b_{3}=2b_{1}$ and $6b_{1}-3b_{3}+b_{4}=0$ $b_{2}=2b_{1}$ and $3b_{1}-6b_{3}+b_{4}=0$ $b_{3}=2b_{1}$ and $3b_{1}-6b_{3}+b_{4}=0$ Linear Algebra gate2020-ec linear-algebra system-of-equations + – go_editor 467 views answer comment Share Follow Add Sync Questions Print 0 reply Please log in or register to add a comment.