Question

For What value of 'x' Which Satisfies this equation, (x-a)/(x-b)=(x+a)/(x+b)​

Answer 1

Step-by-step explanation:

Let's solve for a.

x−a x−b=x+a x+b

Step 1: Multiply both sides by -b+x−a+x=−ab+ax−bx+x2 b+x

Step 2: Multiply both sides by b+x.

−ab−ax+bx+x2=−ab+ax−bx+x2

Step 3: Add ab to both sides.

−ab−ax+bx+x2+ab=−ab+ax−bx+x2+ab

−ax+bx+x2=ax−bx+x2

Step 4: Add -ax to both sides.

−ax+bx+x2+−ax=ax−bx+x2+−ax

−2ax+bx+x2=−bx+x2

Step 5: Add -bx to both sides.

−2ax+bx+x2+−bx=−bx+x2+−bx

−2ax+x2=−2bx+x2

Step 6: Add -x^2 to both sides.

−2ax+x2+−x2=−2bx+x2+−x2

−2ax=−2bx

Step 7: Divide both sides by -2x.−2ax−2x=−2bx−2xa=b

Answer

a=b