Question

solve: 3/x-2/y=0 and 2/x+5/y=19. Hence find 'p', if y=px+3.​

Answer 1

Answer:

Do it by the method of reduction

Answer 2

answer p=16/3

by multiplying the denominators to numerators we get 3y-2x=0

such that

3y=2x.

y=2/3 *x --- 1

2 equation is 2y+5x=19xy ------2

1 in 2

4x/3 +5x =19x*2x/3

(19x)/3 = (38x²)/3

19x=38x²

x=0.5. -------3

3 in 2

2y + 5*0.5 =19*0.5*y

2y +2.5 =9.5*y

2.5 = 7.5y

y = 1/3

x = 1/2

y = px+3

1/3 = p*1/2 + 3

1/3 = (p + 6)/2

2 = 3p +18

16 = 3p

p =16/3