For which values of p does the pair of equations given below has unique solution?
4x + py + 8 = 0
2x + 2y + 2 = 0
Solution:
In the above equation a1= 4, a2 = 2, b1 = p and b2 = 2.
If the solution of a pair of linear equations is unique, then
a1/a2 ≠ b1/b2
4/2 ≠ p/ 2
Thus, the pair of linear equations has a unique solution for all values of p except 4
☛ Check: NCERT Solutions for Class 10 Maths Chapter 3
For which values of p does the pair of equations given below has unique solution? 4x + py + 8 = 0, 2x + 2y + 2 = 0
Summary:
The pair of linear equations has a unique solution for all the values of p except 4
☛ Related Questions:
- For what values of k will the following pair of linear equations have infinitely many solutions? kx + 3y - (k – 3) = 0, 12x + ky - k = 0
- The sum of a two-digit number and the number obtained by reversing the digits is 66. If the digits of the number differ by 2, find the number. How many such numbers are there?
- From a bus stand in Bangalore , if we buy 2 tickets to Malleswaram and 3 tickets to Yeshwanthpur, the total cost is Rs 46; but if we buy 3 tickets...
Math worksheets and
visual curriculum
visual curriculum