Question

4/x+10/y=2,3/x+2/y=19/20 using substitution method

Answer 1

Answer:

4x+10

14x

y=2+3=5

x*y 14x5=19

x+2

y=19/20 =2

2/19=28

answer is 28xy

Answer 2

Step-by-step explanation:

4/x + 10/y = 2 and 3/x + 2/y = 19/20

Take 1/x as a and 1/y as b

→ 4a + 10b = 2

→ 2a + 5b = 1

→ 2a = 1 - 5b

→ a = (1 - 5b)/2 .................(1)

→ 3a + 2b = 19/20

→ 60a + 40b = 19 ...............(2)

Substitute value of (1) in (2)

→ 60(1 - 5b)/2 + 40b = 19

→ 30 - 150b + 40b = 19

→ 110b = 11

→ b = 1/10

Substitute value of b in (1)

→ a = [1 - 5(1/10)]/2

→ a = (1 - 1/2)/2

→ a = (1/2)/2

→ a = 1/4

Now,

→ 1/x = a and 1/y = b

→ 1/x = 1/4 and 1/y = 1/10

→ x = 4 and y = 10