Fin 3403 Algebra 5 Solutions

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....