\fdO'^ - Old Forge Coal Mines

126 ALGEBRA.
Clearing of fractions,
{6x + 1) {7x - 16) - 15(2;r - 4) = d{2x - 1) {7x - 16)
Removing parentheses and expanding,
A2x^ - 89,r - 16 - 30^ + 60 = 42;i'' - 117;ir + 48.
Canceling 42-^* (Art. 562) and transposing,
117;r - 89x — dOx = 16 - 60 + 48
Combining terms, — 2.r = 4.
x= — 2. Ans.
ax* ax
abx* + abc — ab^x -j- acx — abx^ = 0.
Transposing and uniting, acx — ab^x = — abc.
a{c — b^)x = — abc.
abc
a{c- b'Y
Canceling the common factor a and changing two of the
signs of the fraction (Art. 482),
be .
X = y; . Ans.
b — c
V^+7 V^+i
Clearing of fractions,
(/? -3){^+l)={^-+ 7) {/! - 4) =
-r — 2 V^ — 3 = ^ + 3 1/^ — 28.
Transposing and canceling x (Art. 562),
— 2'/x-3iG=S-2S.
_ 5 /r = - 25.
yj= 5.
X = 25. Ans.
j