Suggested Answer
For the given system of linear equations 6x-12y = -7 and 2x + ky = 14 the value of k for which linear equations are inconsistent is k= -4.As given in the question,Given system of linear equations are as follow:6x-12y = -7 ____(1) 2x + ky = 14 _____(2)Form equation (1) we have,6x -12y = -7⇒3 ( 2x -4y) = -7⇒ 2x - 4y = -7 /3 ____(3)From equation (2) and (3) we have,2x + ky = 142x - 4y = - 7/3Value of k so that the given system of equations are inconsistent is given by:k = -4 For inconsistent there is no solution.Therefore, for the given system of linear equations 6x-12y = -7 and 2x + ky = 14 the value of k for which linear equations are inconsistent is k= -4.Learn more about system of linear equations herebrainly.com/question/19549073#SPJ1