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Find the missing number so that the equation has no solutions.
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Q. Find the missing number so that the equation has no solutions.
- Identify Conditions: Identify the conditions for no solutions.For an equation to have no solutions, the coefficients of the variables must be the same on both sides, but the constants must be different.
- Set Up Equation: Set up the equation with the missing number.We need to find the missing number that will make the coefficients of the same on both sides.
- Equate Coefficients: Equate the coefficients of .Since we want no solutions, the missing number should be equal to the coefficient of on the right side of the equation, which is .Missing number:
- Check Constants: Check if the constants are different.Now that we have the coefficients the same, we need to check if the constants are different.On the left side, we have , and on the right side, we have .Since is not equal to , the constants are different.
- Conclude No Solutions: Conclude if the equation has no solutions.With the missing number being , the equation becomes:Since the coefficients are the same and the constants are different, the equation has no solutions.
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