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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.
- Equation with No Solutions: When does an equation have 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.
- Given Equation Analysis: Let's analyze the given equation.____x + 10 = 4x + 14To have no solutions, the coefficient of on both sides must be the same, but the constants must be different.
- Finding Missing Number: Let's find the missing number that makes the coefficients of the same.Since the coefficient of on the right side of the equation is , the missing number must also be to have the same coefficient.
- Checking Constants: Now, let's check if the constants are different.On the left side, we have the constant , and on the right side, we have the constant . Since is not equal to , the constants are different.
- Final Conclusion: Since the coefficients of are the same and the constants are different, the equation will have no solutions.The missing number is .
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