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Sagot :
(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
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
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
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
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