Question

find the value of p for which the pair of linear equations 10x+3py-1=0,5x+3y-2=0 has exactly one solution

Answer 1

Given: The pair of linear equations 10x + 3py - 1 = 0 , 5x + 3y - 2 = 0

To find: the value of p for which the pair of linear equations has exactly one solution.

Solution:

• Now we have given the equations as:

                  10x + 3py - 1 = 0 , 5x + 3y - 2 = 0

• The condition for exactly one solution is:

                  a1/a2 = b1/b2 ≠ c1/c1

• So applying this, we get:

                  10/5 = 3p/3 ≠ -1/-2

• Now equation first and second term, we get:

                  10/5 = 3p/3

                  p = 10/5

                  p = 2

Answer:

             So the value of p is 2.