Question

axis at 7.
Find the value of m such that x - y = 1, 2x + y = 5, (2m - 5)x - my = 3 meet
each other at one point.​

Answer 1

Step-by-step explanation:

If each line meet at one point, then the values of x and y will satisfy each equation.

x-y = 1 ...... eq (i)

2x+y = 5 ..... eq (ii)

(2m-5)x - my = 3 .......eq (iii)

adding eq (i) and (ii)

we get 3x = 6

x = 2

substitute the value of x in eq (i), we get

y = 1

now substitute the value of x and y in eq (iii)

(2m-5) (2) - m(1) = 3

4m - 10 - m = 3

3m = 13

m = 13/3