For what value of k do the equations kx – 2y = 3 and 3x + y = 5 represent two lines intersecting at a unique point?

Question

KollegeApply · Accepted Answer

All real values except –6 Explanation: For a unique intersecting point, we have (a_1)/(a_2) $\neq$ (b_1)/(b_2). $\therefore$ k/3 $\neq$ (-2)/1 $\Rightarrow$ k $\neq$ –6 Hence, all real values except –6.

AChoose Your Answer