33^ /lg£bra. 



RULE 7. 



if any quantity be found on. both sides of the equation 

 with the same sign, it may be taken away from them both ; 

 and if every term in an equation be muhiplied or divided 

 by the same quantity, it may be struck out of them all. 



Thus, if 4X^a^b'-\'a, then will 4X=:l>y and ;^zz— . 



4 



And, if 3«;>;-|-5j^zr8«r, then will 3A?-j*53— :8r, and 



8.: — a 

 JV= ^. 



3 



In like manner, If ——* -1=: Y —*|-> then will 2.vr:! 

 16, and ;v=r8. 



Miscellaneous Examples. 



I, Given 5A?— i5zza^r+6 5 to find the value of x> 



First, 55?— ;:2Ai;i=6+i5 

 Then 3a:zz:2I 

 And ;v=:Yri7.. 



a. Given 40— 6a?-— i6::z:iao— i4Jf ; to find A'. 



First, 14A;— 6;v=zi20—- 404-16 



Then 8^=^96 



And, therefore, A;rzy = i2. 



3. Let $ax — 2^irz2dx^c be given 5 to find ^% 

 First, 5/i;v— 2f/;vrrr-}-3^ 



Or 5^ — 2d X^=<^+3^ 



And, therefore, ^r: 



2^ 



4. Let 



