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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.
- Analysis of Given Equation: Let's analyze the given equation and compare the coefficients and constants.____x + 14 = 3x + 17To have no solutions, the coefficient of on the left side must be the same as the coefficient on the right side, which is . However, the constants must be different.
- Fill in Missing Coefficient: We can now fill in the missing number for the coefficient of on the left side.The missing number is because we want the coefficients to be the same.
- Check for Different Constants: Now let's 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.
- 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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