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Find the missing number so that the equation has infinitely many solutions.
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Q. Find the missing number so that the equation has infinitely many solutions.
- Identify Condition: Identify the condition for infinitely many solutions.For an equation to have infinitely many solutions, the expressions on both sides of the equation must be identical. This means that the coefficients of the variable and the constant terms must be the same on both sides of the equation.
- Analyze Equation: Analyze the given equation.The given equation is ____x - 3 = 2x - 3. To have infinitely many solutions, the coefficient of on the left side must be the same as the coefficient of on the right side, which is . Similarly, the constant term on the left side, which is , must be the same as the constant term on the right side, which is also .
- Determine Missing Number: Determine the missing number.Since the constant terms are already the same, we only need to match the coefficients of . The missing number must be to make the coefficient of on the left side equal to the coefficient of on the right side.
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