Math, asked by AyushBhatt07, 19 days ago

find x and y for the following equations. ​

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Answers

Answered by hukam0685
2

Step-by-step explanation:

Given:

 \frac{2}{x}  +  \frac{3}{y}  = 2 \\  \\  \frac{4}{x}  -  \frac{9}{y}  =  - 1 \\

To find:Value of x and y.

Solution:

Step 1:Convert equations into linear equations

Let

 \frac{1}{x}  = a \:  \:  \: ...eq1 \\  \\  \frac{1}{y}  = b \:  \:  \: ...eq2 \\  \\

Thus,

\bold{\blue{2a +3b = 2}}  \:  \:  \: ...eq3\\  \\  \bold{\pink{4a - 9b  =  - 1 }}\:  \:  \: ...eq4 \\

Step 2: Multiply eq3 by 2 and subtract both

4a + 6b = 4 \\ 4a - 9b =  - 1 \\ ( - ) \:  \: ( + ) \:  \: ( + ) \\  -  -  -  -  -  -  -  \\ 15b = 5 \\  \\ b =  \frac{5}{15}  \\  \\ \bold{\purple{b =  \frac{1}{3} }}\\

Step 3: Put the value of b in eq3

2a + 3( \frac{1}{3} ) = 2 \\  \\ 2a + 1 = 2 \\  \\ 2a = 2 - 1 \\  \\ 2a = 1 \\  \\ \bold{\pink{a =  \frac{1}{2} }} \\  \\

Step 4: Put the value of a and b to find value of x and y

 \frac{1}{x}  =  \frac{1}{2}  \\  \\ x = 2 \\  \\

and

 \frac{1}{y}  =  \frac{1}{3}  \\  \\ y = 3 \\  \\

Final answer:

Value of x and y are

\bold{\red{x = 2}} \\  \\ \bold{\green{y = 3 }}\\

Hope it helps you.

To learn more on brainly:

1) 22/x+y+15/x-y=5,55/x+y +40/x-y=13

https://brainly.in/question/42309773

2) x/a+y/b=2

ax-by=a2-b2 solve by substitution method

https://brainly.in/question/8772161

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