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Find the missing number so that the equation has infinitely many solutions.\newline−3x−7=____x−7-3x - 7 = \_\_\_\_x - 7

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Full solution

Q. Find the missing number so that the equation has infinitely many solutions.\newline−3x−7=____x−7-3x - 7 = \_\_\_\_x - 7
  1. Identify Equation: When an equation has infinitely many solutions, it means that both sides of the equation are identical. To find the missing number, we need to make the coefficients of xx on both sides of the equation the same.
  2. Make Coefficients Same: The equation is -3x - 7 = ____x - 7. Since we want the equation to have infinitely many solutions, the coefficient of xx on the left side −3-3 must be the same as the coefficient of xx on the right side.
  3. Find Missing Number: Therefore, the missing number that makes the coefficient of xx on the right side equal to −3-3 is −3-3 itself. This gives us −3x−7=−3x−7-3x - 7 = -3x - 7.

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