Question

Solve the
Linear equation
by substitution method
i )2/x+3/y=17
1/x+1/y=7​

Answer 1

Answer:

Taking 1/x = u and 1/y = v, the given equations become:

u + v = 7

2u + 3v = 17

The given equations may be written as:

u + v – 7 = 0 …..(i)

2u + 3v – 17 = 0 ……(ii)

Here, a1 = 1, b1 = 1, c1 = -7, a2 = 2, b2 = 3 and c2 = -17

By cross multiplication, we have:

Hence, x = 1/4 and y = 1/3 is the required solution.

Answer 2

Answer:

1/x=7-1/y. eqn1

and 1/x×2+3/y=17

substitute the value of 1/X

(7-1/y)2+3/y=17

so by solving this we get the value of y as

y=1/3

substitute this value in eqn 1

so we get the answer as

X=1/4