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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 Equation Pattern: When an equation has infinitely many solutions, it means that both sides of the equation are identical for all values of the variable. In this case, we want the left side of the equation to be identical to the right side.
- Determine Missing Number: The equation is . Since we want the equation to have infinitely many solutions, the missing number should make the constant term on the left side equal to the constant term on the right side.
- Make Constant Terms Equal: The constant term on the right side of the equation is . Therefore, the missing number on the left side must also be to make the constant terms equal.
- Verify Identical Equations: By filling in the missing number, the equation becomes . Now both sides of the equation are identical, which means the equation will have infinitely many solutions.
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