Elementary Algebra

Cover Elementary Algebra
Elementary Algebra
H S Henry Sinclair Hall
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Ex.1. Solve 5(x + 2?j)-{Sx + nij)=U (1), 7x-dy-S(x-4:i/) = SS (2).
From (1) 6x-hl07j-Sx-Utj = U; .-. 2x-7j = 14 (3).
From (2) 7 x -9y - 3x + 12y = S8 ; .'. 4:X + 3y = SS (4).
From (3) 6x-3^ = 42; and hence we may find x = S, and y =2.
Ex. 2. Solve 3 X - ^^Lizl = ^ ■« - ^ ^^^^ 3l_ti_ 1(2.^-5)=?/ (2).
Clear of fractions. Thus from (1) 42ic-2y + 10 = 28a:-2i; .-. \4x-2y =-^\ (3).
From (2) 9?/ + 12 - lOx + 25 = 15?/ ; .-. 10x + 6y = 37 (4).
Eliminating y from (3) and (4), we find that ^ _ _ 14 X —
...— Y3 .
Eliminating x from (3) and (4) , we find that Note. Sometimes, as in the present instance, the value of the second unknown is more easily found by elimination than by substi- tuting the value of the unknown already found.
EXAMPLES XVII. b.
1. ^+2/-16, 3. ^-y=3, 5.^ + ^=10, 'x + l = u. ^-f = 8. l + y = m.
2 ^ + 1^ = 5 4. a: - ?/ = 5, 6. a-. = 3 ?/, ' ^ 2 ' ^-y = 2. ^+y = U.
x-y = 4. ' 45 3-^ 152 ALGEBRA.
7- lx-^y = 3, ^Q ^^y = U, 12. ^-^ = 4x-y = 20. 7 5^ 54 8. lx--ly = 4, x + ^ = 4f.


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