Question

1/7(14-7p)-2=-2(1/2p+3)+6 solve for p

Answer 1

Step-by-step explanation:

First we have to eliminate the parenthesis by applying the distributive property for the addition:

`\begin{gathered} (1)/(7)(14-7p)-2=-2((1)/(2)p+3)+6_{} \\ (14)/(7)-(7p)/(7)-2=-(2)/(2)p-3\cdot2+6 \\ \text{ simplifying} \\ 2-p-2=-p-6+6 \end{gathered}`

Now we have to add the terms that have numbers on each side:

`\begin{gathered} -p+(2-2)=-p+(6-6) \\ -p=-p \end{gathered}`

We can see that both sides of the equation are the same. This means that this equation doesn't have only one solution, because any number we put in p will make the equation true.

Answer:

Many solutions