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How many solutions does this equation have?\newline−2v−3=−2v-2v - 3 = -2v\newlineChoices:\newline(A) no solution\newline(B) one solution\newline(C) infinitely many solutions

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Q. How many solutions does this equation have?\newline−2v−3=−2v-2v - 3 = -2v\newlineChoices:\newline(A) no solution\newline(B) one solution\newline(C) infinitely many solutions
  1. Analyze Equation: Analyze the equation –2v−3=–2v–2v − 3 = –2v. We want to find out if there are any values of vv that make this equation true.
  2. Isolate Variable: Attempt to isolate the variable vv on one side of the equation.\newlineSubtract –2v–2v from both sides of the equation to see if we can simplify it.\newline–2v−3+2v=–2v+2v–2v − 3 + 2v = –2v + 2v
  3. Simplify Equation: Simplify both sides of the equation.\newlineOn the left side, –2v–2v and +2v+2v cancel each other out, leaving us with just –3–3.\newlineOn the right side, –2v–2v and +2v+2v also cancel each other out, leaving us with 00.\newlineSo we have –3=0–3 = 0.
  4. Check Validity: Determine if the simplified equation makes sense.\newlineThe equation –3=0–3 = 0 is never true because –3–3 is not equal to 00.\newlineThis means there are no values of vv that can satisfy the equation.

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