Question:

Solve the following simultaneous equations using Cramer’s rule.

(1) 3x – 4y = 10; 4x + 3y = 5

(2) 4x + 3y – 4 = 0; 6x = 8 – 5y

(3) x + 2y = –1; 2x – 3y = 12

(4) 6x – 4y = –12; 8x – 3y = –2

(5) 4m + 6n = 54; 3m + 2n = 28

(6) 2x + 3y = 2; x – y/2 = ½

 

 

 

 

 

 

Answer:

(1) 3x – 4y = 10; 4x + 3y = 5

Solution:

Maharashtra Board Solutions for Class 10 Maths Part 1 Chapter1 - Image 25
Maharashtra Board Solutions for Class 10 Maths Part 1 Chapter1 - Image 26

(2) 4x + 3y – 4 = 0; 6x = 8 – 5y

Solution:

Maharashtra Board Solutions for Class 10 Maths Part 1 Chapter1 - Image 27
Maharashtra Board Solutions for Class 10 Maths Part 1 Chapter1 - Image 28

(3) x + 2y = –1; 2x – 3y = 12

Solution:

Maharashtra Board Solutions for Class 10 Maths Part 1 Chapter1 - Image 29

(4) 6x – 4y = –12; 8x – 3y = –2

Solution:

Maharashtra Board Solutions for Class 10 Maths Part 1 Chapter1 - Image 30
Maharashtra Board Solutions for Class 10 Maths Part 1 Chapter1 - Image 31

(5) 4m + 6n = 54; 3m + 2n = 28

Solution:

Maharashtra Board Solutions for Class 10 Maths Part 1 Chapter1 - Image 32

(6) 2x + 3y = 2; x – y/2 = ½

Solution:

Maharashtra Board Solutions for Class 10 Maths Part 1 Chapter1 - Image 33
Maharashtra Board Solutions for Class 10 Maths Part 1 Chapter1 - Image 34

About Us

At AI Shiksha, we are driven by a singular mission – to democratize access to artificial intelligence education. We believe that AI is a transformative force that has the power to shape the future, and we are committed to making this cutting-edge technology accessible to everyone.