Chapter 3: Pair of Linear Equations in Two Variables

Q&A -Ask Doubts and Get Answers

Q
Pair of linear equations in two variables CBSE NCERT Solutions

Question:

Solve the following pair of linear equations by the substitution and cross-multiplication methods:

8+ 5= 9;  3+ 2= 4.

Answer:

Solutions:

Substitution Method

8+ 5= 9 … (1)

3x + 2y = 4 … (2)

From equation (1),

5y = 9 − 8x =  

Putting this in equation (2), we get

3x + 2  )= 4

3x +   = 4

3x −  =  

15x − 16x = 20 – 18

 = −2

Putting the value of x in (1), we get

8 (−2) + 5y = 9

5y = 9 + 16 = 25 = 5

Therefore, x = −2 and y = 5

Cross multiplication method

8x + 5y = 9 … (1)

3x + 2y = 4 … (2)

 

 

 

 

 = −2 and y = 5

VIDEO EXPLANATION


Related Questions for Study

What our students and parents say about us!

Choose EduSakshamยฎ
Embrace Better Learning

edusaksham-mobile-app