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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: 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.
- Analyze Given Equation: Let's analyze the given equation.____x + 19 = 5x - 18To have no solutions, the coefficient of on both sides must be the same, but the constants must be different.
- Determine Missing Coefficient: Determine the missing coefficient.Since we need the coefficients to be the same for no solutions, the missing coefficient must be .
- Check Constants: 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 indeed different.
- Conclude Solution: Conclude the solution.The missing number is , which makes the coefficients equal, and since the constants are different, the equation has no solutions.
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