How many solutions does this equation have? –5r + 2 = –5r Choices: (A)no solution (B)one solution (C)infinitely many solutions

Simplify Equation: Simplify the equation by subtracting –5r from both sides to isolate the constant term. –5r + 2 - (–5r) = –5r - (–5r) 2 = 0Analyze Simplified Equation: Analyze the simplified equation. The equation 2 = 0 is never true because 2 is not equal to 0. This means there are no values of r that can satisfy the equation.Conclude Number of Solutions: Conclude the number of solutions based on the analysis. Since there are no values of r that can make the equation true, the equation has no solution.

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How many solutions does this equation have? $\newline$ $-5r + 2 = -5r$ $\newline$ 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

-5r + 2 = -5r

\newline

Choices:

\newline

(A)no solution

\newline

(B)one solution

\newline

(C)infinitely many solutions

Simplify Equation: Simplify the equation by subtracting $–5r$ from both sides to isolate the constant term. $–5r + 2 - (–5r) = –5r - (–5r)$ $2 = 0$
Analyze Simplified Equation: Analyze the simplified equation. $\newline$ The equation $2 = 0$ is never true because $2$ is not equal to $0$ . $\newline$ This means there are no values of $r$ that can satisfy the equation.
Conclude Number of Solutions: Conclude the number of solutions based on the analysis. $\newline$ Since there are no values of $r$ that can make the equation true, the equation has no solution.