Question 2 of 19intermediate✨ CreateShort Answer2 marks

Frame an equation that has no solution. [Hint: 4 more than a number, and 5 more than a number can never be equal!]

Correct Answer

Equation: x+4=x+5x + 4 = x + 5 Subtracting xx from both sides gives 4=54 = 5, which is false. ∴ The equation has no solution.

Similarly: 2x+3=2x+72x + 3 = 2x + 7 Subtracting 2x2x from both sides gives 3=73 = 7, which is impossible. ∴ The equation has no solution.

Exercise: Figure it Out (Section 1) | Q: 2 | (Page Page 9)
For More Understanding

Explanation

The chapter explains that an equation has no solution when the unknown terms cancel out completely, leaving a false statement. When we have expressions like '4 more than a number' and '5 more than the same number', they can never be equal regardless of what value the unknown takes.

Solution Steps

  1. Frame an equation like x+4=x+5x + 4 = x + 5

  2. Subtract xx from both sides to get 4=54 = 5

  3. Recognize that 4=54 = 5 is a false statement

  4. Conclude the equation has no solution

  5. Frame another equation like 2x+3=2x+72x + 3 = 2x + 7

  6. Subtract 2x2x from both sides to get 3=73 = 7

  7. Recognize that 3=73 = 7 is impossible

  8. Conclude the equation has no solution

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