Question

solve it plz its of maths ​

Answer 1

Answer:

y=4/5

X=7/4

Step-by-step explanation:

assume( 1/x-1) as A and (1/y-1) as B

then the equations are

4A+5B=2 --(1)

8A+15B=3 --(2)

multiply 1st equation with 2

2(4A+5B)=2(2)

8A+10B=4 --(3)

solve 3 and 2 then we will get y=4/5

next multiply equation 1 with 3

3(4A+5B)=3(2)

12A+15B=6 --(4)

by solving equation 4 and 2 then we will get X=7/4

Answer 2

x = 7/3 and y = -4.

Step-by-step explanation:

Given:

$\frac{4}{x - 1} + \frac{5}{y - 1} = 2 \: ---(a) \\ \\\frac{8}{x - 1} + \frac{15}{y - 1} = 3 \:---(b)$

To find:

Find the value of x and y

Solution:

I will use the elimination method to solve this equation.

What is Elimination method ?

(See in attachment)

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Multiplying (a) by 2,

$2 (\frac{4}{x - 1} + \frac{5}{y - 1}) = 2 ( 2 ) \\ \\\frac{8}{x - 1} + \frac{10}{y - 1} = 4$

Now, Subtracting (a) from (b)

$(\frac{8}{x - 1} + \frac{15}{y - 1}) - ( \frac{8}{x - 1} + \frac{10}{y - 1} )= 3 - 4\\ \\ \cancel{\frac{8}{x - 1}} + \frac{15}{y - 1} - \cancel{\frac{8}{x - 1}} - \frac{10}{y - 1} = - 1 \\ \\ \frac{15 - 10}{y - 1} = - 1 \\ \\ [\text{by cross multiple}] \\ \\ 5 = - 1(y - 1) \\ \\ 5 = - y + 1 \\ \\ y = 1 - 5 \\ \\ y = - 4$

Now, putting the value of y in (a),

$\frac{4}{x - 1} + \frac{5}{y - 1} = 2 \\ \\ \frac{4}{x - 1} + \frac{5}{ - 4 - 1} = 2 \\ \\ \frac{4}{x - 1} + \frac{5}{ - 5} = 2 \\ \\ \frac{4}{x - 1} - 1 = 2 \\ \\ \frac{4}{x - 1} = 2 + 1 \\ \\ [\text{by cross multiple}] \\ \\ \frac{4}{3} = x - 1 \\ \\ \frac{4}{3} + 1 = x \\ \\ x = \frac{7}{3}$

Therefore, the required value of x = 7/3 and y = -4.