How many solutions does this equation have? 8 + b = 2b Choices: (A)no solution (B)one solution (C)infinitely many solutions

Isolate variable b: Isolate the variable b on one side of the equation. 8 + b = 2b Subtract b from both sides to get: 8 = 2b - bSimplify right side: Simplify the right side of the equation. 8 = 2b - b 8 = bCheck solution: Check if the solution b = 8 satisfies the original equation. Substitute b with 8 in the original equation: 8 + 8 = 2(8) 16 = 16 This is true, so b = 8 is a solution.Determine number of solutions: Determine the number of solutions. Since we found a specific value for b that satisfies the equation, there is only one solution.

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How many solutions does this equation have? $\newline$ $8 + b = 2b$ $\newline$ 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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8 + b = 2b

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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

Isolate variable $b$ : Isolate the variable $b$ on one side of the equation. $8 + b = 2b$ Subtract $b$ from both sides to get: $8 = 2b - b$
Simplify right side: Simplify the right side of the equation. $\newline$ $8 = 2b - b$ $\newline$ $8 = b$
Check solution: Check if the solution $b = 8$ satisfies the original equation. $\newline$ Substitute $b$ with $8$ in the original equation: $\newline$ $8 + 8 = 2(8)$ $\newline$ $16 = 16$ $\newline$ This is true, so $b = 8$ is a solution.
Determine number of solutions: Determine the number of solutions. Since we found a specific value for $b$ that satisfies the equation, there is only $1$ solution.