Reduce each of the following equations to normal form :
(i) x + y - 2 = 0
(ii)
(iii) x + 5 = 0
(iv) 2y – 3 =0
(v) 4x + 3y - 9 = 0
If the equation is in the form of ax + by = c, to get into the normal form we should divide it by , so now
Divide by =
This is in the form of , where
and
Conclusion: +
=
is the normal form of x + y - 2 = 0
(ii)
⇒x + y = - √2
If the equation is in the form of ax + by = c, to get into the normal form, we should divide it by, so now
Divide by
Our new equation is
This is in the form of , where
and p =1
Conclusion: is the normal form of
(iii)
If the equation is in the form of ax + by = c, to get into the normal form, we should divide it by, so now
Divide the equation by
Our new equation is
This is in the form of , where
and p = 5
Conclusion: is the normal form of
(iv)
If the equation is in the form of ax + by = c, to get into the normal form, we should divide it by, so now
Divide by
Our new equation is
This is in the form of , where
and
Conclusion: is the normal form of
(v)
If the equation is in the form of ax + by = c, to get into the normal form, we should divide it by , so now
Divide by
Our new equation is
This is in the form of , where
or
and
Conclusion: is the normal form of