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Find the missing number so that the equation has no solutions. \newline____x15=2x+13\_\_\_\_x - 15 = 2x + 13

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Q. Find the missing number so that the equation has no solutions. \newline____x15=2x+13\_\_\_\_x - 15 = 2x + 13
  1. Equation with No Solutions: When does an equation have no solutions?\newlineAn equation has no solutions when the two sides of the equation are parallel lines, which means the coefficients of xx are the same, but the constants are different.
  2. Analysis of Given Equation: Let's analyze the given equation:\newlinex15=2x+13x - 15 = 2x + 13\newlineTo have no solutions, the coefficient of xx on both sides must be the same, but the constants must be different.
  3. Equate Coefficients of x: Let's equate the coefficients of xx on both sides to find the missing number:\newlinex=2xx = 2x\newlineThe missing number must be 22 to have the same coefficient for xx on both sides.
  4. Check Constants: Now, let's check the constants on both sides:\newline1513-15 \neq 13\newlineSince the constants are already different, we have ensured that the equation will have no solutions with the missing number being 22.