Submitted by: Submitted by lliu2013
Views: 66
Words: 485
Pages: 2
Category: Business and Industry
Date Submitted: 11/06/2014 03:47 AM
Chapters 3-6
Solving Linear Equations Solving Equations and Formulas = -56 for X -5x+ y ^ -5x -5x -5 x
X
Example 1: Solve the equation -5x + y a. fory b. -5x+ y -56 +5x +5x = 5x - 56 y
Example 2: Solve for y In ay + z = am - ny ay + z = am - ny = -56 :y = -56 - y = -56 - V -5 = -56 - y -5 = 56 + v 5
Drmula
-A
ay +nY ay + y(a + n) V(a + n) (a + n)
y
zZ
= ny
am - ny - z +ny = am -2 am - z am - z (a + n) (am -z) ( a + n)
Guided Practice 4. 3x4y
+4Y
== =
==
Solve each equation or 7, for X 5.
+4Y
3x 3x 3
X
4y+7 4v+7 3 4Y+7 3 dx + c, for X -dx c -b c-b c-b (c-b) (a-d) (c-b) (a-d) 8.
for the v a r i a b l e specified. 3x-4y = 7, for y 6. a(y + 1) = b,fory -3x -3x a(v+ 1) = b 7-3x a a -4y = 7-3x y+1 b/a .4v = -4 -1 -1 -4 3x - 7 = b-1 y = y
4
a
7.
ax + b -dx ax - dx + b lb ax - dx x(a - d) x(a - d) (a-d)
X
== = =
F = G(Mm/d2),forM
9 . S = n(A + t).forn 2 (2)(S) =(2)(n/2)(A + t) 28 n(A +1) 2S = n(A +1) (A + t) (A + t) 2S = n ( A + t)
=
Write an equation and solve for the variable specified. 10. Twice a number x and 12 is 31 less than three times another number y. Solve for y. Exercises Practice 11. ax + b Solve equation or formula for the variable specified. cx, for X 12. ex - 2y = 3z, for x 13.(3) -(Y + a
4-2
f2
or y
U.[sY3y 5
+a
- r
r + at, for a
16.
y = m x + b,form
1
17.
I
prt, for r
18.
A
p + prt, for p
19.H=(0.24)PRt,fQrR
p.
20[ffp)
= (WE^forR
21.
vt+ V at^ forv a
22. d = vt+y2at^ for a
/\t
2 23. c
T
-
0.
=
(P-100). for P P
r
fr_ 2y
-0.25/fory
^3
- o . SO
4-0
-
p
f
+ RM- R D
- ICQ
c-1 26(0)
25.(OYP D
Q + f
00 +
gWbr D
D
- e
Write an equation and solve for the variable specified. 27. Twice a number x increased by 12 is 28. 31 less than three times another number y. Solve for x.
Five eighths of a number x is three more than one half of another number y. Solve for y....