How many solutions does this equation have? –8n = 6 − 8n Choices: (A)no solution (B)one solution (C)infinitely many solutions

Analyze the equation: Analyze the equation –8n = 6 − 8n. We have the same term on both sides of the equation, which is –8n. Let's move all terms involving n to one side and constants to the other side to see if we can simplify the equation.Subtract to isolate constants: Subtract –8n from both sides of the equation to isolate the constants. –8n + 8n = 6 − 8n + 8n This simplifies to: 0 = 6Determine if equation makes sense: Determine if the simplified equation makes sense. The equation 0 = 6 is never true, as 0 cannot equal 6. This means that there is no value of n that will satisfy the equation.Conclude number of solutions: Conclude the number of solutions based on the simplified equation. Since there is no value of n that can make the equation true, the equation –8n = 6 − 8n has no solution.

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How many solutions does this equation have? $\newline$ $-8n = 6 - 8n$ $\newline$ 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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-8n = 6 - 8n

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Choices:

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(A) no solution

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(B) one solution

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Analyze the equation: Analyze the equation $–8n = 6 – 8n$ . We have the same term on both sides of the equation, which is $–8n$ . Let's move all terms involving $n$ to one side and constants to the other side to see if we can simplify the equation.
Subtract to isolate constants: Subtract $-8n$ from both sides of the equation to isolate the constants. $\newline$ $-8n + 8n = 6 - 8n + 8n$ $\newline$ This simplifies to: $\newline$ $0 = 6$
Determine if equation makes sense: Determine if the simplified equation makes sense. $\newline$ The equation $0 = 6$ is never true, as $0$ cannot equal $6$ . This means that there is no value of $n$ that will satisfy the equation.
Conclude number of solutions: Conclude the number of solutions based on the simplified equation. $\newline$ Since there is no value of $n$ that can make the equation true, the equation $–8n = 6 − 8n$ has no solution.