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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 Identical Expressions: To determine the missing number that will result in the equation having infinitely many solutions, we need to make the expressions on both sides of the equation identical. This means that the coefficients of and the constant terms on both sides must be the same.
- Constant Terms Equality: Looking at the equation -5x + 19 = ____x + 19, we can see that the constant terms on both sides are already the same . Therefore, we only need to ensure that the coefficients of on both sides are equal.
- Equalize Coefficients: Since the coefficient of on the left side is , the missing number that would make the coefficient of on the right side equal to is also . This will give us on both sides of the equation.
- Substitute Missing Number: Substituting the missing number into the equation, we get . Now both sides of the equation are identical, which means the equation will have infinitely many solutions.
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