Question

2x + 3y = 13xy , 3x + 7y = 27xy​

Answer 1

Answer:

-7

Step-by-step explanation:

Answer 2

2x + 3y = 13xy 3x + 7y = 27xy

• Divide xy

2/y + 3/x = 13 3/y + 7/x = 27

• Let a = 1/y & b = 1/x

2a + 3b = 13 _(i) 3a + 7b = 27 _(ii)

• MULTIPLY (i) by 3 & (ii) by 2

6a + 9b = 26 6a + 14b = 54

• (i) - (ii)

6a + 9b - (6a + 14b) = 26 - 54

5b = 28

• b = 28/5

• a = -19/10

a = 1/y

• y = 1/a = -10/19

b = 1/x

• x = 1/b = 5/28