Q. Find the missing number so that the equation has no solutions. 3x+16=____x−3
Analyze Equation: Step 1: Analyze the equation for no solutions condition.Equations have no solutions when the lines they represent are parallel, which means the coefficients of x must be the same but the constants must be different.3x + 16 = ____x - 3
Find Missing Number: Step 2: Set the coefficients of x equal to find the missing number.3 = ____The missing number must be 3 to make the lines parallel.
Check Constants: Step 3: Check if the constants are different to ensure no solutions.16=−3Since 16 is not equal to −3, the lines will not intersect.
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