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

Analyze Equation: Analyze the equation 5y = 5y − 8. We start by looking at the equation and seeing if we can simplify or rearrange any terms.Subtract to Isolate y: Subtract 5y from both sides of the equation to try to isolate y. 5y - 5y = 5y - 8 - 5y This simplifies to: 0 = -8Evaluate Result: Evaluate the result of the simplification. The equation 0 = -8 is a contradiction because 0 can never equal -8. This means that there is no value of y that can satisfy the equation.Conclude Number of Solutions: Conclude the number of solutions based on the contradiction. Since we have a contradiction, the equation has no solution.

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How many solutions does this equation have? $\newline$ $5y = 5y - 8$ $\newline$ 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?

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5y = 5y - 8

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Choices:

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(A)no solution

\newline

(B)one solution

\newline

(C)infinitely many solutions

Analyze Equation: Analyze the equation $5y = 5y - 8$ . We start by looking at the equation and seeing if we can simplify or rearrange any terms.
Subtract to Isolate $y$ : Subtract $5y$ from both sides of the equation to try to isolate $y$ . $5y - 5y = 5y - 8 - 5y$ This simplifies to: $0 = -8$
Evaluate Result: Evaluate the result of the simplification. $\newline$ The equation $0 = -8$ is a contradiction because $0$ can never equal $-8$ . This means that there is no value of $y$ that can satisfy the equation.
Conclude Number of Solutions: Conclude the number of solutions based on the contradiction. Since we have a contradiction, the equation has no solution.