How many solutions does this equation have? –9k = –9k + 3 Choices: (A)no solution (B)one solution (C)infinitely many solutions

Analyze the equation: Analyze the equation –9k = –9k + 3. We have the same term on both sides of the equation, –9k, but there is an additional +3 on the right side.Attempt to isolate the variable: Attempt to isolate the variable k on one side. Subtract –9k from both sides of the equation to try to get k alone. –9k + 9k = –9k + 9k + 3 0 = 3Evaluate the result: Evaluate the result. We end up with a statement that says 0 = 3, which is never true. This means there is no value of k that can satisfy the equation.

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How many solutions does this equation have? $\newline$ $-9k = -9k + 3$ $\newline$ 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

-9k = -9k + 3

\newline

Choices:

\newline

(A)no solution

\newline

(B)one solution

\newline

(C)infinitely many solutions

Analyze the equation: Analyze the equation $-9k = -9k + 3$ . We have the same term on both sides of the equation, $-9k$ , but there is an additional $+3$ on the right side.
Attempt to isolate the variable: Attempt to isolate the variable $k$ on one side. $\newline$ Subtract $–9k$ from both sides of the equation to try to get $k$ alone. $\newline$ $–9k + 9k = –9k + 9k + 3$ $\newline$ $0 = 3$
Evaluate the result: Evaluate the result. $\newline$ We end up with a statement that says $0 = 3$ , which is never true. This means there is no value of $k$ that can satisfy the equation.