Question

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solve the following pair of linear equation by reducing them to a pair of linear equation.
(iv)
$\frac{5}{x - 1} + \frac{1}{y - 2} = 2$
and
(vii)
$\frac{10}{x + y} + \frac{2}{x - y} = 4$
​

Answer 1

Answer:

(i)

2x

1

+

3y

1

=2

3x

1

+

2y

1

=

6

13

Lets assume

x

1

=p and

y

1

=q, both equations will become

2

p

+

3

q

=2

⇒3p+2q=12 ... (A)

3

p

+

2

q

=

6

13

⇒2p+3q=13 ...(B)

Multiply (A) by 3 and (B) by 2, we get

9p+6q=36

4p+6q=26

Subtracting these both, we get

5p=10