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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:-5x + 10 = ____x - 12To have no solutions, the coefficient of on both sides must be the same, but the constants must be different.
- Coefficient Comparison: We can see that the coefficient of on the left side is . To have no solutions, the missing coefficient on the right side must also be .
- Constant Check: Now, let's check the constants. On the left side, we have , and on the right side, we have . Since these constants are different, the lines represented by each side of the equation will never intersect, confirming that there are no solutions.
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