Question

Solve absolute value equations

Answer 1

1. |b/5|=1 take the equation out of the absolute value
b/5=1
*5 *5 multiply both sides by 5
_____
b=5

2. 2-5|5m-5|=-73 get rid of what's outside the absolute value first
-2 -2 subtract 2 from both sides
____________
-5|5m-5|=-75
÷-5 ÷-5 divide both sides by -5
__________
|5m-5|=15 take the equation out of the absolute value
5m-5=15
+5 +5 add 5 to both sides
_______
5m=20
÷5 ÷5 divide both sides by 5
_____
m=4

3. |7p+4|/8=3
*8 *8 multiply by 8
__________
|7p+4|=25 take out the equation
7p+4=25
-4 -4 subtract 4
_______
7p=20
÷7 ÷7 divide by 7
______
p=20/7

4. 5-8|-2n|=-80
+5 +5 add 5
__________
-8|-2n|=-80
÷-8 ÷-8 divide by -8
________
|-2n|=10 take out equation
-2n=10
÷-2 ÷-2 divide by -2
______
n=-5

that took forever to type lol :^)