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Find the missing number so that the equation has infinitely many solutions.\newline−5x−7=____x−7-5x - 7 = \_\_\_\_x - 7

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Full solution

Q. Find the missing number so that the equation has infinitely many solutions.\newline−5x−7=____x−7-5x - 7 = \_\_\_\_x - 7
  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, we need to make the coefficients of xx on both sides of the equation the same.
  2. Make Coefficients Equal: The equation is -5x - 7 = ____x - 7. Since we want the equation to have infinitely many solutions, the coefficient of xx on the left side must be the same as the coefficient of xx on the right side.
  3. Ensure Infinitely Many Solutions: The coefficient of xx on the left side is −5-5. To have infinitely many solutions, the missing number, which is the coefficient of xx on the right side, must also be −5-5.

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