Answer:
1. No sol.
2. One Sol. x=4
3. One Sol. w=22 1/2
Step-by-step explanation:
1.
Group like terms:
4+3p=6p-3p+5
Add similar elements (6p-3p=3p):
4+3p=3p+5
Subract 4 from both sides:
4+3p-4=3p+5-4
Simplify:
3p=3p+1
Subtract 3p from both sides:
3p-3p=3p+1-3p
Simplify:
0=1
There is no solution.
2.
One Sol. x=4
Switch sides:
3x-2=10
Add 2 to both sides:
3x-2+2=10+2
Simplify:
3x=12
Divide both sides by 3:
3x/3=12/3
Simplify:
x=4
There is a solution.
3.
One Sol. w=22 1/2
Subtract 7 from both sides:
2/3w+7-7=22-7
Simplify:
2/3w=15
Multiply both sides by 3:
3*2/3w=15*3
Simplify:
2w=45
Divide both sides by 2:
2w/2=45/2
Simplify:
w=22 1/2
There is one sol.
