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Find the missing number so that the equation has infinitely many solutions.\newline3x−10=‾x−103x - 10 = \underline{\hspace{1cm}}x - 10

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Full solution

Q. Find the missing number so that the equation has infinitely many solutions.\newline3x−10=‾x−103x - 10 = \underline{\hspace{1cm}}x - 10
  1. Identify Equation Pattern: When an equation has infinitely many solutions, it means that both sides of the equation are identical. To find the missing number that makes the equation have infinitely many solutions, we need to make the coefficients of xx on both sides of the equation the same.
  2. Make Coefficients Equal: The given equation is 3x - 10 = ____x - 10. Since we want the equation to have infinitely many solutions, the coefficient of xx on the left side (which is 33) must be the same as the coefficient of xx on the right side.
  3. Determine Missing Number: Therefore, the missing number that makes the coefficients of xx the same on both sides is 33. So the equation with infinitely many solutions is 3x−10=3x−103x - 10 = 3x - 10.

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