Question

What is the value of p? 10p+5=18p–62
A.-8
B.1/8
C.4
D.8

Answer 1

p = 67/8 = 8.375 = 8 1/8 so I would choose D just to be safe.

Answer 2

Option D is correct

The value of p is 8

Step-by-step 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]

`10p+5-10p = 18p-62-10p`

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] ;

`(67)/(8) = (8p)/(8)`

Simplify;

p = 8.375 ≈ 8 (approx)

Therefore, the value of p is, 8