Question

5x-3y=11;-10+6y=-22 ,find the pair of linear equations are consistence or inconsistent please answer quickly

Answer 1

please see the attachment

Answer 2

Answer:

system is consistent.

Step-by-step explanation:

We are given

  5x - 3y = 11               ......(1)

-10x + 6y = -22           ......(2)

Multiplying equation (1) by "-2" on both sides we get

-10x + 6y = -22           ......(3)

We see that equation (2) is multiply of equation (1)

which applies

given system of equations is actually consist of only one equation that is

5x - 3y = 11

And above equation has infinite solution because

Putting ' x = t ' we get

    5t - 3y = 11

⇒    y = (5t - 11) / 3

So the system is consistent because it has solution.(actually infinite solution).