How many solutions does this equation have? 9c = 9c + 6 Choices: (A)no solution (B)one solution (C)infinitely many solutions

Analyze Equation: Analyze the equation 9c = 9c + 6. We need to determine if there is a value of c that makes this equation true.Isolate Variable c: Attempt to isolate the variable c on one side of the equation. Subtract 9c from both sides of the equation to try to solve for c. 9c - 9c = 9c + 6 - 9c 0 = 6Evaluate Subtraction Result: Evaluate the result of the subtraction. We see that 0 does not equal 6. This means that there is no value of c that can satisfy the equation 9c = 9c + 6.Conclude Number of Solutions: Conclude the number of solutions based on the result. Since 0 does not equal 6, the equation is never true. Therefore, there are no solutions to the equation.

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How many solutions does this equation have? $\newline$ $9c = 9c + 6$ $\newline$ 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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9c = 9c + 6

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Choices:

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(A)no solution

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(B)one solution

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(C)infinitely many solutions

Analyze Equation: Analyze the equation $9c = 9c + 6$ . We need to determine if there is a value of $c$ that makes this equation true.
Isolate Variable $c$ : Attempt to isolate the variable $c$ on one side of the equation. $\newline$ Subtract $9c$ from both sides of the equation to try to solve for $c$ . $\newline$ $9c - 9c = 9c + 6 - 9c$ $\newline$ $0 = 6$
Evaluate Subtraction Result: Evaluate the result of the subtraction. $\newline$ We see that $0$ does not equal $6$ . This means that there is no value of $c$ that can satisfy the equation $9c = 9c + 6$ .
Conclude Number of Solutions: Conclude the number of solutions based on the result. $\newline$ Since $0$ does not equal $6$ , the equation is never true. Therefore, there are no solutions to the equation.