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How many solutions does this equation have?\newline−2k=−10k+8k-2k = -10k + 8k\newlineChoices:\newline(A)no solution\newline(B)one solution\newline(C)infinitely many solutions

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Find the number of solutions to a linear equationright chevron icon

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Q. How many solutions does this equation have?\newline−2k=−10k+8k-2k = -10k + 8k\newlineChoices:\newline(A)no solution\newline(B)one solution\newline(C)infinitely many solutions
  1. Combine like terms: Simplify the right side of the equation by combining like terms.\newline−2k=−10k+8k-2k = -10k + 8k\newline=(−10+8)k= (-10 + 8)k\newline=−2k= -2k
  2. Verify equality: Now we have −2k=−2k-2k = -2k. This statement is true for every value of kk. Therefore, the equation has an infinite number of solutions.

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