Q. Find the missing number so that the equation has no solutions. ____x−15=2x+13
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 x are the same, but the constants are different.
Analysis of Given Equation: Let's analyze the given equation:x−15=2x+13To have no solutions, the coefficient of x on both sides must be the same, but the constants must be different.
Equate Coefficients of x: Let's equate the coefficients of x on both sides to find the missing number:x=2xThe missing number must be 2 to have the same coefficient for x on both sides.
Check Constants: Now, let's check the constants on both sides:−15=13Since the constants are already different, we have ensured that the equation will have no solutions with the missing number being 2.
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