Literal Equations and Absolute Value

ax=bx-c solve in terms of x

x = c ------ a-b

4x−5=7+4y solve in terms of y.

x-3

3|-8x|+8=80

x= -3 or x=3

-4|x-1|=-16

x=5 or x=-3

y=4x+rx+6 solve for x

y-6 ---- 4+r

2y-18x= -26 solve in terms of y

y= 9x-13

2+ 1y =3x+4 for y. ---- 6

18x+12

2y−18x=−26 solve in terms of y

-13+9x

A brown poodle is 10 inches tall and a white poodle is 15 inches tall. Write an absolute value equation that represents these heights (in inches). Use h to represent the heights.

|h-12.5|=2.5

a=2x+6xz solve for x

a --- 2+6z

y= f+g ---- solve in terms of g 3

g= 3y-f

5-8|-2n|=-75

n= -5 or n=5

5|9-5n|-7=38

n=0 or n=18/5

|7p+4| ------- = 3 8

p=20/7 or p= -4

3|3-5r|-3= 18

r= -4/5 or r=2

−3|1−2v|=−9 ---- 3

v=-3 or v=6