SOLUTION: Hi! I am currently enrolled in an Algebra II class, and I am having trouble with figuring out how to solve an equation, due to an absence regarding sports. The problems are as fo

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Question 494682: Hi! I am currently enrolled in an Algebra II class, and I am having trouble with figuring out how to solve an equation, due to an absence regarding sports.
The problems are as follows:
Solve for x. Assume that a,b,c, and d represent positive real numbers.
1. |ax|-b=c
2. |cx-d|=ab
3. a|bx-c|=d
Thanking you in advance for your help.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x. Assume that a,b,c, and d represent positive real numbers.
1. |ax|- b = c
|ax| = (b + c)
two solutions after you remove the abs
ax = (b+c)
x = %28b%2Bc%29%2Fa
and
x = -%28b%2Bc%29%2Fa


2. |cx-d| = ab
cx - d = ab
cx = ab + d
x = %28%28ab%2Bd%29%29%2Fc
and
cx - d = -ab
cx = -ab + d
x = %28%28-ab%2Bd%29%29%2Fc

3. a|bx-c|=d
|bx-c| = d%2Fa
bx = d%2Fa+c
;
x = %28%28d%2Fa%29%2Bc%29%2Fb
and
bx - c = -d%2Fa
bx = -d%2Fa+c
;
x = %28%28-d%2Fa%29%2Bc%29%2Fb