Home
Class 10
MATHS
Find the values of p and q for which the...

Find the values of `p` and `q` for which the following system of equations has infinite number of solutions: `2x+3y=7,\ \ \ \ (p+q)x+(2p-q)y=21`

Text Solution

AI Generated Solution

To find the values of \( p \) and \( q \) for which the system of equations has an infinite number of solutions, we start with the given equations: 1. \( 2x + 3y = 7 \) 2. \( (p + q)x + (2p - q)y = 21 \) ### Step 1: Write the equations in standard form We can rewrite the second equation in a standard form similar to the first equation: ...
Promotional Banner

Topper's Solved these Questions

  • LINEAR EQUATIONS IN TWO VARIABLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 3a|18 Videos

  • LINEAR EQUATIONS IN TWO VARIABLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 3A|8 Videos

  • INTRODUCTION TO TRIGONOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Questions|5 Videos

  • POLYNOMIALS

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Questions|4 Videos

Similar Questions

Explore conceptually related problems

Find the values of p and q for which the following system of linear equations has infinite number of solutions: 2x+3y=9,\ \ \ \ (p+q)x+(2p-q)y=3(p+q+1)

Find the values of a and b for which the following system of linear equations has infinite number of solutions: 2x-3y=7,\ \ \ \ (a+b)x-(a+b-3)y=4a+b

Find the values of alpha and beta for which the following system of linear equations has infinite number of solutions: 2x+3y=7,\ \ \ \ 2alphax+(alpha+beta)y=28

Find the values of a and b for which the following system of equations has infinitely many solutions: 2x+3y=7,\ \ \ \ (a-b)x+(a+b)y=3a+b-2

Find the value of a for which the following system of equations has infinitely many solutions: 2x+3y=7,\ \ \ \ (a-1)x+(a+2)y=3a

6x+py=21 ltbgt px+5y=7 If the above system of equations has infinitely many solutions, what is the value of (p)/(q) ?

If the system of equations 2x+3y=7,\ \ \ \ (a+b)x+(2a-b)y=21 has infinitely many solutions, then

if p and q satisfy 2y^(2)+y21 and p gtq , which of the following is the value of p-q?

For what values of p and q the system of equations 2x+py+6z=8, x+2y+qz=5, x+y+3z=4 has a unique solution. (a). p = 2, q ne3 (b). p ne 2, q ne 3 (c). p ne 2, q = 3 (d). p =2, q=3

1/5x+1/4y=2 px+2y=16 In the system of linear equations above , p is a constant . If the system has an infinite number of solutions, what is the value of p ?