Answer:
Option D is correct
The value of p is 8
Explanation:
Given: 10p +5 = 18p-62 ......[1]
Subtraction Property of equality states that you subtract the same number from both sides of an equation.
Subtract 10p from both sides of an equation [1]
[tex]10p+5-10p = 18p-62-10p[/tex]
Simplify:
5 = 8p -62 ......[2]
Addition Property of equality states that you add the same number from both sides of an equation.
Add 62 to both sides of an equation [2];
5+62 = 8p -62 +62
Simplify:
67 = 8p .....[3]
Division Property of equality states that you divide the same number from both sides of an equation.
Divide by 8 in equation [3] ;
[tex]\frac{67}{8} = \frac{8p}{8}[/tex]
Simplify;
p = 8.375 ≈ 8 (approx)
Therefore, the value of p is, 8
