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Find the missing number so that the equation has infinitely many solutions.\newline−2x+‾=−2x+2-2x + \underline{\hspace{1cm}} = -2x + 2

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Full solution

Q. Find the missing number so that the equation has infinitely many solutions.\newline−2x+‾=−2x+2-2x + \underline{\hspace{1cm}} = -2x + 2
  1. Identical Solutions Condition: When does this equation have infinitely many solutions? Infinitely many solutions occur when the both sides of the equation are identical.
  2. Equation Setup: −2x+____=−2x+2-2x + \_\_\_\_ = -2x + 2\newlineTo have infinitely many solutions, the coefficients of xx are already the same, so the constants must also be the same.
  3. Determining Missing Number: The missing number should be the same as the constant on the right side of the equation to ensure both sides are identical.\newlineMissing number: 22

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