Question

32. Show that the following system of equations has a unique solution and hence solve:
2x + 3y = 19; 3x + 5y = 31
​

Answer 1

Answer:

x=2,,y=5

Step-by-step explanation:

see for unique solution a1/a2 is not equal to b1/b2.

as 2/3 is not equal to 3/5 , it has unique solution.

2x+3y=19...(1)

3x+5y=31....(2)

(1)*3 and (2) *2

by applying it..

6x+9y=57

6x+10y=62

= -y=-5

y=5...(3)

putting (3) in (1)

2x+3(5)=19

2x+15=19

x=4/2=2

x=2. hope it helps..

Answer 2

here dude your answer hope this will help you ❤