Math, asked by BranlyGirlHoney, 11 months ago

solve for x and y

ax + by = 1
and
bx + ay = 2ab/ (a²+b²)​

Answers

Answered by jass9584
6

Hola!

Step-by-step explanation:

It can be solve by using substitution method...

or

By using elimination method

I will recommend to use elimination method because this will become easy ......

multiply eq.1 by b and eq.2 by a..

abx + a²y = 2 a²b/+

abx + b²y = 1

(-) (-) (-)

____________________

y(a²-b²) = (2a²b /+)-1

y( {a}^{2}  -   {b}^{2}  ) = \frac{2 {a}^{2}b }{ {a}^{2}  +  {b}^{2} }  - 1

y({a}^{2} -  {b}^{2} ) =   \frac{2 {a}^{2} b -  {a}^{2}  -  {b}^{2}  }{ {a}^{2} +  {b}^{2}  }

now solve it and find the value of y

->then put that value in any eq. and find the value of x

Hope this helps u..❤❤❤

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