Question

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

Answer 1

Answer: x = 1, y = -1

Explanation:

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

Answer 2

`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`