How many solutions does this equation have? 5p = 8 + 5p Choices: (A)no solution (B)one solution (C)infinitely many solutions

Analyze Equation: Analyze the equation 5p = 8 + 5p. We want to find out how many values of p satisfy this equation.Subtract to Isolate p: Subtract 5p from both sides of the equation to try to isolate p. 5p - 5p = 8 + 5p - 5pSimplify After Subtraction: Simplify both sides of the equation after subtraction. 0 = 8Determine Truth Value: Determine the truth value of the simplified equation. 0 = 8 is never true for any value of p, which means there is no value of p that can satisfy the equation.Conclude Number of Solutions: Conclude the number of solutions based on the previous step. Since the equation 0 = 8 is false, the original equation 5p = 8 + 5p has no solution.

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How many solutions does this equation have? $\newline$ $5p = 8 + 5p$ $\newline$ Choices: $\newline$ (A)no solution $\newline$ (B)one solution $\newline$ (C)infinitely many solutions

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Math Problems

Algebra 1

Find the number of solutions to a linear equation

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Q. How many solutions does this equation have?

\newline

5p = 8 + 5p

\newline

Choices:

\newline

(A)no solution

\newline

(B)one solution

\newline

(C)infinitely many solutions

Analyze Equation: Analyze the equation $5p = 8 + 5p$ . We want to find out how many values of $p$ satisfy this equation.
Subtract to Isolate $p$ : Subtract $5p$ from both sides of the equation to try to isolate $p$ . $5p - 5p = 8 + 5p - 5p$
Simplify After Subtraction: Simplify both sides of the equation after subtraction. $\newline$ $0 = 8$
Determine Truth Value: Determine the truth value of the simplified equation. $\newline$ $0 = 8$ is never true for any value of $p$ , which means there is no value of $p$ that can satisfy the equation.
Conclude Number of Solutions: Conclude the number of solutions based on the previous step. $\newline$ Since the equation $0 = 8$ is false, the original equation $5p = 8 + 5p$ has no solution.