Which of the following algebraic steps will solve the equation [tex]$5p = -35$[/tex] and what is the solution?

A. Divide both sides of the equation by [tex]-5[/tex] to get [tex]$p = 7$[/tex].
B. Divide both sides of the equation by [tex]-5[/tex] to get [tex][tex]$p = -7$[/tex][/tex].
C. Divide both sides of the equation by [tex]5[/tex] to get [tex]$p = 7$[/tex].
D. Divide both sides of the equation by [tex]5[/tex] to get [tex]$p = -7$[/tex].



Answer :

To solve the equation [tex]\(5p = -35\)[/tex], follow these algebraic steps:

1. Identify the equation: The given equation is [tex]\(5p = -35\)[/tex].

2. Isolate the variable [tex]\(p\)[/tex]:
- To isolate [tex]\(p\)[/tex], divide both sides of the equation by the coefficient of [tex]\(p\)[/tex], which is 5.

3. Perform the division:
- Dividing both sides of the equation by 5, we get:
[tex]\[ \frac{5p}{5} = \frac{-35}{5} \][/tex]

4. Simplify both sides:
- The left-hand side simplifies to [tex]\(p\)[/tex] since [tex]\(\frac{5p}{5} = p\)[/tex].
- The right-hand side simplifies to [tex]\(-7\)[/tex] since [tex]\(\frac{-35}{5} = -7\)[/tex].

5. Write down the simplified equation:
- Thus, we obtain:
[tex]\[ p = -7 \][/tex]

Therefore, the algebraic step to solve the equation is to divide both sides of the equation by 5 to get [tex]\(p = -7\)[/tex], and the solution is [tex]\(p = -7\)[/tex].

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