Q. Find the missing number so that the equation has no solutions. 5x+10=____x−12
Identify Equation Solutions: Identify when an equation has no solutions: An equation has no solutions when the coefficients of the variable are the same, but the constants are different.
Set Up Missing Number: Set up the equation with the missing number: 5x+10=____x−12. To have no solutions, the coefficients of x must be equal, and the constants must be different.
Equating Coefficients: Equating the coefficients: Set 5 equal to the missing number's coefficient. So, the missing number is 5.
Check Constants: Check the constants: Since the coefficients are the same, check if the constants are different. 10=−12, so the constants are indeed different.
Conclude Missing Number: Conclude that the missing number is 5, ensuring no solutions for the equation.
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