Answer:
p=1 p = -5/3
Step-by-step explanation:
1-|3p+1|=-3
Subtract 1 from each side
1-|3p+1| -1=-3-1
-|3p+1|=-4
Divide by -1
|3p+1|=4
The absolute value has two solutions one positive and one negative
3p+1 = 4 3p+1 = -4
Subtract 1 from each side
3p+1-1 = 4-1 3p+1-1 = -4-1
3p = 3 3p = -5
Divide by 3
3p/3 = 3/3 3p/3 = -5/3
p=1 p = -5/3
Answer:
p=-5/3,1
Step-by-step explanation:
Subtract 11 from both sides.
-|3p+1|=-3-1
−∣3p+1∣=−3−1
2 Simplify -3-1−3−1 to -4−4.
-|3p+1|=-4
−∣3p+1∣=−4
3 Multiply both sides by -1−1.
|3p+1|=4
∣3p+1∣=4
4 Break down the problem into these 2 equations.
3p+1=4
3p+1=4
-(3p+1)=4
−(3p+1)=4
5 Solve the 1st equation: 3p+1=43p+1=4.
p=1
p=1
6 Solve the 2nd equation: -(3p+1)=4−(3p+1)=4.
p=-\frac{5}{3}
p=−
3
5
7 Collect all solutions.
p=-\frac{5}{3},1
p=−
3
5
,1
