How many solutions does this equation have? –7b = –7b − 6 Choices: (A)no solution (B)one solution (C)infinitely many solutions

Analyze the equation: Analyze the equation –7b = –7b − 6. We start by looking at the equation and seeing if we can simplify or rearrange any terms.Isolate the variable b: Attempt to isolate the variable b on one side. We see that –7b is already on both sides of the equation. If we try to move all terms involving b to one side, we would subtract –7b from both sides to get: 0 = -6Evaluate the simplification: Evaluate the result of the simplification. The equation 0 = -6 is a contradiction because 0 can never equal -6. This means that there is no value of b that can satisfy the equation.Determine number of solutions: Determine the number of solutions based on the contradiction. Since there is no value of b that can make the equation true, the equation –7b = –7b − 6 has no solution.

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How many solutions does this equation have? $\newline$ $-7b = -7b - 6$ $\newline$ 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?

\newline

-7b = -7b - 6

\newline

Choices:

\newline

(A)no solution

\newline

(B)one solution

\newline

(C)infinitely many solutions

Analyze the equation: Analyze the equation $–7b = –7b − 6$ . We start by looking at the equation and seeing if we can simplify or rearrange any terms.
Isolate the variable $b$ : Attempt to isolate the variable $b$ on one side. $\newline$ We see that $–7b$ is already on both sides of the equation. If we try to move all terms involving $b$ to one side, we would subtract $–7b$ from both sides to get: $\newline$ $0 = -6$
Evaluate the simplification: Evaluate the result of the simplification. $\newline$ The equation $0 = -6$ is a contradiction because $0$ can never equal $-6$ . This means that there is no value of $b$ that can satisfy the equation.
Determine number of solutions: Determine the number of solutions based on the contradiction. $\newline$ Since there is no value of $b$ that can make the equation true, the equation $–7b = –7b − 6$ has no solution.