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


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