Question

do the following equations represent a pair of conicident lines? -2x-3y=1,6y+4x=-2​

Answer 1

Answer:

Step-by-step explanation: 2x - 3y - 2 = 0. 4x - 6y - 10 = 0. a1 =2 b1= -3 c1 = -2. a2 =4 b2= -6 c2 = -10. a1/a2 = b1/b2 = c1/c2.

Answer 2

Solution:

-2x - 3y = 1 and 6y + 4x = -2

Eq. 1

-2x - 3y = 1

-3y = 2x + 1

y = -2x/3 - 1/3

slope, m = -2/3

y-intercept = -1/3

Eq.2

6y + 4x = -2

6y = -4x - 2

y = -4x/6 - 2/6 =

slope, m = -4/6 = -2/3

y-intercept = -2/6 = -1/3

Therefore, if each line in the system has the same slope and the same y-intercept, the lines are coincident.

Hope this will be helpful to you.