Chapter 3: Pair of Linear Equations in Two Variables

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Pair of linear equations in two variables CBSE NCERT Solutions

Question:

Solve 2+ 3= 11 and 2− 4= −24 and hence find the value of m' for which

mx + 3

Answer:

Solution:  2x + 3y = 11 … (1)

                 2x − 4y = −24 … (2)

Using equation (2), we can say that

2x = −24 + 4y

 = −12 + 2y

Putting this in equation (1), we get

2 (−12 + 2y) + 3y = 11

24 + 4y + 3y = 11

7y = 35  = 5

Putting the value of y in equation (1), we get

2x + 3 (5) = 11

2x + 15 = 11

2x = 11 – 15 = −4 = −2

Therefore, x = −2 and y = 5

Putting values of x and y in y = mx + 3, we get

5 = m (−2) + 3

5 = 2m + 3

2m = 2  = −1

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