1.Consider the following system of equations:x+2y−3z=a2x+6y−11z=bx−2y+7z=c\begin{aligned} x + 2y - 3z &= a \\ 2x + 6y - 11z &= b \\ x - 2y + 7z &= c \end{aligned}x+2y−3z2x+6y−11zx−2y+7z=a=b=cwhere aaa, bbb and ccc are real constants. Then the system of equations:a.has a unique solution when 5a=2b+c5a = 2b + c5a=2b+cb.has no solution for all aaa, bbb and cccc.has infinitely many solutions when 5a=2b+c5a = 2b + c5a=2b+cd.has a unique solution for all aaa, bbb and cccLogin to continueOnly logged in users canattempt or see the solution.