How many solutions does this equation have? –9y = 5 − 9y Choices: (A)no solution (B)one solution (C)infinitely many solutions

Write Equation: Write down the given equation. –9y = 5 − 9yIsolate Variable: Attempt to isolate the variable y on one side of the equation by adding 9y to both sides. –9y + 9y = 5 − 9y + 9ySimplify Equation: Simplify both sides of the equation. 0 = 5Analyze Simplified: Analyze the simplified equation. The equation 0 = 5 is never true, regardless of the value of y.Conclude Solutions: Conclude the number of solutions based on the analysis. Since the equation 0 = 5 is a contradiction, there are no values of y that can satisfy the equation. Therefore, the equation has no solution.

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How many solutions does this equation have? $\newline$ $-9y = 5 - 9y$ $\newline$ 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

-9y = 5 - 9y

\newline

Choices:

\newline

(A)no solution

\newline

(B)one solution

\newline

(C)infinitely many solutions

Write Equation: Write down the given equation. $\newline$ $-9y = 5 - 9y$
Isolate Variable: Attempt to isolate the variable $y$ on one side of the equation by adding $9y$ to both sides. $\newline$ $-9y + 9y = 5 - 9y + 9y$
Simplify Equation: Simplify both sides of the equation. $0 = 5$
Analyze Simplified: Analyze the simplified equation. $\newline$ The equation $0 = 5$ is never true, regardless of the value of $y$ .
Conclude Solutions: Conclude the number of solutions based on the analysis. $\newline$ Since the equation $0 = 5$ is a contradiction, there are no values of $y$ that can satisfy the equation. Therefore, the equation has no solution.