Question

For what value of k, do the equations 2x – y + 7 = 0 and 4x – ky = –14 represent coincident lines? ​

Answer 1

Answer:

k = 2

Step-by-step explanation:

2x - y = -7 ---- eq(1)

4x - ky = -14 ----eq(2)

Multiplying eq(1) by 2

4x - 2y = -14 ---- eq(3)

Comparing eq (2) and eq (3)

k = 2

Answer 2

Answer:

here a1=2, a2=4

b1= -1, b2= - k

c1=7, c2=14

In coincident lines

==> a1/a2=b1/b2=c1/c2

==>2/4= -1/ -k=7/14

==>1/2=1/k

==>2= k