How many solutions does this equation have? –10 − 9n = –8n Choices: (A)no solution (B)one solution (C)infinitely many solutions

Isolate variable terms: Isolate the variable terms on one side of the equation by adding 9n to both sides. –10 − 9n + 9n = –8n + 9n Simplify the equation. –10 = nCheck simplified equation: Check if the simplified equation makes sense. The equation –10 = n means that there is one specific value for n that satisfies the equation, which is n = –10.Determine number of solutions: Determine the number of solutions based on the simplified equation. Since we have found a specific value for n, the equation has one solution.

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How many solutions does this equation have? $\newline$ $-10 - 9n = -8n$ $\newline$ 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?

\newline

-10 - 9n = -8n

\newline

Choices:

\newline

(A) no solution

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(B) one solution

\newline

Isolate variable terms: Isolate the variable terms on one side of the equation by adding $9n$ to both sides. $\newline$ $-10 - 9n + 9n = -8n + 9n$ $\newline$ Simplify the equation. $\newline$ $-10 = n$
Check simplified equation: Check if the simplified equation makes sense. $\newline$ The equation $-10 = n$ means that there is one specific value for $n$ that satisfies the equation, which is $n = -10$ .
Determine number of solutions: Determine the number of solutions based on the simplified equation. $\newline$ Since we have found a specific value for $n$ , the equation has $1$ solution.