How many solutions does this equation have? 4p = 3p + 10 Choices: (A)no solution (B)one solution (C)infinitely many solutions

Subtract 3p: Subtract 3p from both sides of the equation to isolate the variable p on one side. 4p - 3p = 3p + 10 - 3pSimplify equation: Simplify both sides of the equation. 4p - 3p = p 3p + 10 - 3p = 10Simplified equation: Now we have a simplified equation. p = 10Determine solutions: Determine the number of solutions. Since we have a specific value for p, there is only one solution to the equation.

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How many solutions does this equation have? $\newline$ $4p = 3p + 10$ $\newline$ 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

Full solution

Q. How many solutions does this equation have?

\newline

4p = 3p + 10

\newline

Choices:

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(A)no solution

\newline

(B)one solution

\newline

(C)infinitely many solutions

Subtract $3p$ : Subtract $3p$ from both sides of the equation to isolate the variable $p$ on one side. $\newline$ $4p - 3p = 3p + 10 - 3p$
Simplify equation: Simplify both sides of the equation. $\newline$ $4p - 3p = p$ $\newline$ $3p + 10 - 3p = 10$
Simplified equation: Now we have a simplified equation. $p = 10$
Determine solutions: Determine the number of solutions. Since we have a specific value for $p$ , there is only one solution to the equation.