Answered

Literal Equations.
Solve for x:
3x-a/b = 3x-b/a

Sagot :

AnneCviz
(3x-a)/b = (3x-b)/a

Multiply the equation by ab:
a (3x-a) = b (3x-b)

3ax - a² = 3bx - b²

Isolate terms with x:
3ax -3bx = a² -b²

Factor out similar factors:
3x(a-b) = a² - b²

Divide both sides by 3(a-b):
x = (a² -b²) / 3(a-b)

Note that a² -b² = (a+b) (a-b):
x = (a+b) / 3
Elijahlicodiniviz
3x-a/b =3x-b/a
multiply b to 3x and on the other side also multiply a to 3x:
so we get:
3bx-a=3ax-b 
the we will transpose 3ax to the left and -a to the other side 
so we get:
3bx-3ax=a-b
then factor out 3x:
3x(b-a)=a-b
so x= a-b/3(b-a)
then change the sign of 3 into negative to cancel out a-b 
it becomes:
x=a-b/-3(a-b) 
so x=-1/3