Q. Find the missing number so that the equation has infinitely many solutions.3x+____=3x+3
Analyze Equation: Step 1: Analyze the equation for conditions of infinitely many solutions.Equation given: 3x+____=3x+3.For infinitely many solutions, both sides of the equation must be identical after simplification.
Set Coefficients and Constants: Step 2: Set the coefficients of x and constants on both sides equal.Left side: 3x+____, Right side: 3x+3.To have the same equation on both sides, the blank must be filled with a number that makes the constants equal.
Solve for Missing Number: Step 3: Solve for the missing number.Since the coefficients of x are already equal (3x on both sides), set the constants equal:___=3.
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