Question

solve for x:-1/x+1+3/y+1=4,2/x+1+5/y+1=7.​

Answer 1

Answer:

x = 0 and y = 0

Step-by-step explanation:

1/(x+1) + 3/(y+1) = 4

2/(x+1) + 5/(y+1) = 7

put 1/(x+1) = a and 1/(y+1) = b

a + 3b = 4 ----------(1)

2a + 5b = 7 --------(2)

multiply by 2 in eq. 1

2(a + 3b = 4)

2a + 2b = 8 -------(3)

on adding eq 2 and 3

2a + 5b = 7

2a + 6b = 8

- - -

-b = -1

b = 1

put b in eq 1

a + 3b = 4

a + 3(1)= 4

a + 3 = 4

a = 4 - 3

a = 1

1/(x+1) = a and 1/(y+1) = b

1/(x+1) = 1/1 1/(y+1) = 1/1

x + 1 = 1 y + 1 = 1

x = 1 - 1 y = 1 - 1

x = 0 y = 0