Question

find the number of solutions of pair of equations 2x + 3y = 5; 3x - 2y = 5​

Answer 1

Answer:

2x + 3y = 5 --------------(1)

3x - 2y = 5---------------(2)

multiplying eq^n no. 1 by 2

4x + 6y =10 -------------(3)

multiplying eq^n no. 2 by 3

9x - 6y =10 ---------------(4)

Adding eq^n no. 1 and 2

13x = 20

x = 20 / 13

put x=20/13 in eq^n no. 1

2x + 3y = 5

2 × 20/13 +3y = 5

40/13 + 3y =5

3y=5-40/13

3y=25/13

y= 25/39