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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 Parallel Lines: An equation has no solutions when the two sides of the equation are parallel lines, which means the coefficients of on both sides must be the same, but the constants must be different.
- Ensure Coefficients Match: The coefficient of on the left side of the equation is . To ensure no solutions, the coefficient of on the right side must also be .
- Compare Constants: Now, let's compare the constants. On the left side, we have , and on the right side, we have . Since these constants are already different, we don't need to change anything else.
- Adjust Coefficient of : Therefore, the missing number that makes the coefficient of on the right side equal to is itself. This will make the equation , which has no solutions because the lines represented by these equations are parallel.
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