Question

{4x−10y=−20

{6x−15y=−30 ​ how many solutions????

Answer 1

Answer:

as there are 2eq.

Step-by-step explanation:

these r coinciding lines

Answer 2

The given system of equations has infinitely many solutions

Solution:

Given system of equations are:

4x - 10y = -20 --------- eqn 1

6x - 15y = -30 --------- eqn 2

We have to find the number of solutions

Multiply eqn 1 by 6

24x - 60y = -120 ----------- eqn 3

Multiply eqn 2 by 4

24x - 60y = -120 -------- eqn 4

We can see eqn 1 and eqn 2 are same

Subtract eqn 3 from eqn 4

24x - 60y = -120

24x - 60y = -120

( - ) --------------------------

0 = 0

Thus the given system of equations has infinitely many solutions

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