Question

Simplify using substitution method:
2/x + 6/y = 2
9/x - 9/y = 3​

Answer 1

Answer:

x = 2 and y =6

Step-by-step explanation:

Let 1/x be p and 1/y be q

2/x + 6/y = 2

2(1/x) + 6(1/y) =2

2p + 6q = 2

2(p+3q) = 2

p+3q =2/2

eq .1 p+3q = 1

9/x -9/y = 3

9(1/x) -9(1/y) = 3

9p -3q = 3

3(3p -3q) = 3

3p-3q = 3/3

• eq .2. 3p -3q = 1

Adding eq.1 and eq.2

p+3q = 1

3p - 3q = 1

p+3q = 1 +1

4p = 2

p = 2/4 = 1/2

1/x = 1/2

x = 2

Putting the value of x in eq 1

2/2 + 6/y = 2

1 + 6/y = 2

6/y = 2-1

6/y = 1

y = 6

Hope it helps you