Home
Class 10
MATHS
Find the values of x and y in the follow...

Find the values of x and y in the following rectangle :

We know that the opposite sides of a rectangle are equal
`therefore` 3x + y = 7 …(1)
x + 3y = 13 …(2)
9x + 3y = 21 [from (1)]
`{:(" x + 3y = 13"),( " "ul"- - -"),("On subtracting, 8x =8"):}`
x = 1
Now, from (1), 3 (1) + y = 7
implies y = 7 - 3
implies y = 4
Hence, the required values of x and y are 1 and 4 respectively.

Promotional Banner

Topper's Solved these Questions

  • LINEAR EQUATIONS IN TWO VARIABLES

    NAGEEN PRAKASHAN|Exercise Exercise 3a|18 Videos

  • LINEAR EQUATIONS IN TWO VARIABLES

    NAGEEN PRAKASHAN|Exercise Exercise 3b|30 Videos

  • INTRODUCTION TO TRIGONOMETRY

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

  • POLYNOMIALS

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

Similar Questions

Explore conceptually related problems

If (x+y, x-y) = (3, 1), find the values of x and y.

If 3x + 5y = 21 and 2x +3y = 13 , then find the values of x and y .

Assertion : For the given figure , x+y=14 and x-y=30 Reason : Opposite sides of the rectangle are equal.

The value of x and y from the equation 3x-y=3 and 9x-3y=9 are

If x=3 and y=1 , find the value of x^x + y^y .

Find the values of (x-y) , if (i) 3x + 4y = 11 , 4x + 3y = 10 (ii) 3x + 2y = 8 , 2x + 3y = 7