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iogann1982 [59]
2 years ago
9

Ax + by = a - b bx - ay = a+ b by elimination ​

Mathematics
2 answers:
AnnZ [28]2 years ago
5 0
Answer: x = 1, y = -1

Step-by-Step Explanation:

As the answer involves many steps, I’ve taken a pic of my working. Please check the attached photo.

melisa1 [442]2 years ago
4 0

ax + by = a - b   \:  \:  \: ...(i)\\  \\ bx - ay = a+ b  \:  \:  \: ...(ii) \\  \\

Multiply equation (i) with a and equation (ii) with b ,

{a}^{2} x + aby =  {a}^{2}  - ab \:  \:  \:  ...(iii)\\  \\  {b}^{2} x - aby = ab +  {b}^{2}  \:  \:  \: ...(iv)

Adding (iii) and (iv) , we get ,

( {a}^{2}  +  {b}^{2} )x =  {a}^{2}  +  {b}^{2}  \\  \\ x = 1

Now , from (i) ,

ax+by=a−b \\  \\ a+by=a−b\\  \\ by=−b \\  \\ y=−1

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