SIMPLE EQUATIONS. 33^ 



8. Given v/«'+.v' =:3^4"^^i » to find .Y. 



Ans. Kzz.s/ T"* 



^a 



9. Given »v-|-az:Y/^/'^-f ''^V^^^'i'^'* ' to find :v:. 



Ans. ;viz — •— <r. 

 4 a. 



REDUCTION OF TWO, three, or more, Simple 



E^ATIONSy CONTAINING TWO, THREE, OR MORE, 



Unknown Quantities. 



PROBLEM I. 



Sn? eKterm'mate tivo unknoiv'n quantities^ or to reduce the two 

 simple equations containing thsm.to one, 



RULE Ij, 



1. Observe which of the unknown quantities is the if ast 

 involved, and find its value in each of the equations, by 

 the methods already explained, 



2. Let the two values thus found be made equal to, 

 each other, and there will arise a new equation with only 

 one unknown quantity in it, whose value may be found as. 

 before. 



EXAMTLES. 



I. Given 7. '^"r3) 3 ^ J to find x and v. 



From the first equation xzzzz^ ^, 



And from the second y.z=. — -^ , 



5 - 



23— !)'__' 0+2 V 



And oensequentry - — — , 



2 5 



Or 



