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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 No Solutions: Understand when an equation has no solutions. An equation has no solutions when the two sides of the equation are parallel lines, which means the coefficients of are the same, but the constants are different.
- Compare Coefficients of : Compare the coefficients of on both sides of the equation.____x + 18 = 3x - 6To have no solutions, the coefficient of on the left side must be the same as the coefficient on the right side, which is .
- Ensure Different Constants: Ensure the constants are different.Since the coefficients are the same, for the equation to have no solutions, the constants must be different. However, in the given equation, the constants are already different ( on the left side and on the right side). Therefore, we do not need to change the constants.
- Conclude Missing Number: Conclude the missing number.The missing number is the coefficient of on the left side that makes it equal to the coefficient on the right side, which is . So the missing number is .
More problems from Create equations with no solutions or infinitely many solutions
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