Mathematics

Problem

For which value of

k

does the pair of equations

kx+(k+1)y=2k

and

3x+4y=12

have no solution? a)

k = 0

k = 1

k = 4

k = 3

Intuitive explanation

Two lines have no solution when they're parallel—that is, when they have the same slope but different $y$ -intercepts. Rewrite both equations in slope-intercept form and set their slopes equal to find $k$ . Then verify that the lines don't coincide by checking that the $y$ -intercepts differ.

Intuitive explanation

Browse the problem library