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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 Situation: To determine the missing number that would result in no solutions, we need to create a situation where the equation is never true, regardless of the value of . This occurs when the coefficients of are the same on both sides of the equation, but the constants are different.
- Write Equation: Let's write down the equation with the missing number represented by a blank: . To have no solutions, the coefficient of on the left side must be the same as the coefficient on the right side, which is . Therefore, the missing number is .
- Determine Missing Number: However, for the equation to have no solutions, the constants on both sides must be different. In this case, the constants are already different ( on the left and on the right). So, by having the same coefficients and different constants, the equation will have no solutions.
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