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RD Chapter 3 Pair of Linear Equations in Two Variables Ex 3.3 Solutions

Question - 51 : - Find the values of x and y in the following rectangle

Answer - 51 : -


Hence, the required values of x and y are 1 and 4, respectively.

Question - 52 : - Write an equation of a line passing through the point representing solution of the pair of linear equations x + y = 2 and 2x – y = 1. How many such lines can we find?

Answer - 52 : -


Plotting the points A (2, 0) and B (0, 2), we get the straight line AB. Plotting the points C (0, -1) and D (1/2 , 0) we get the straight line CD. The lines AB and CD intersect at E (1, 1).
Hence, infinite lines can pass through the intersection point of linear equations x + y = 2 and 2x – y = 1
¡.e.,E(1, 1) like as y = x, 2x + y = 3, x + 2y = 3, so on.

Question - 53 : - Write a pair of linear equations which has the unique solution x = -1, y = 3. How many such pairs can you write?

Answer - 53 : -

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