Home
Class 9
MATHS
Find four different solutions of the eq...

Find four different solutions of the equation`x+2y=6`.

Text Solution

Verified by Experts

We have
`x+2y=6rArr 2y=(6-x)`
`rArr y= 1/2 (6-x)" "` …(i)
Putting `x=2 " in (i) , we get " y= 1/2 (6-2) = (1/2 xx 4)= 2.`
Putting `x=4" in (i) , we get "y= 1/2 (6-4) (1/2 xx 2) = 1. `
Putting `x=6" in (i) , we get " y = 1/2 (6-6) = (1/2 xx 0) = 0.`
Putting `x=-2 " in (i) , we get "y= 1/2 {6-(-2) } = (1/2 xx 8) = 4.`
Putting `x=-4" in (i), we get " y= 1/2 { 6- (-4)} = (1/2 xx 10) =5.`
Putting `x=-6 " in (i), we get "y=1/2 {6-(-6)}= (1/2 xx 12) = 6.`
So , the required solutions are given below.
Promotional Banner

Topper's Solved these Questions

  • LINEAR EQUATIONS IN TWO VARIABLES

    RS AGGARWAL|Exercise Exercise 4A|7 Videos

  • LINEAR EQUATIONS IN TWO VARIABLES

    RS AGGARWAL|Exercise EXERCISE 4B|12 Videos

  • INTRODUCTION TO EUCLID'S GEOMETRY

    RS AGGARWAL|Exercise Multiple Choice Questions (Mcq)|27 Videos

  • LINES AND ANGLES

    RS AGGARWAL|Exercise Multiple Choice Questions (Mcq)|28 Videos

Similar Questions

Explore conceptually related problems

Find four different solution of the equation x+5y =20.

Let y_(1) and y_(2) be two different solutions of the equation (dy)/(dx)+P(x).y=Q(x) . Then alphay_(1)+betay_(2) will be solution of the given equation if alpha + beta=……………….

Find the solution of the linear equation x+3y=6

Consider the equation (2)/(x)+(5)/(y)=(1)/(3) where x,y in N. Find the number of solutions of the equation.

Write four solution of the equation pi x+y=9

Find the number of solutions of the equation x + y + z = 6, where x, y, z, in W.

Find five different solutions of each of the following equations: (a) 2x-3y=6 (b) (2x)/5+(3y)/10=3 (c) 3y=4x

The number of solutions of the system of equation x+2y=6 and |x-3|=y is/are

Find the number of solution of the system of equation x+2y=6 and |x-3|=y