High School

Which equation is NOT true for the value of [tex]x = 2[/tex]?

A. [tex]\frac{1}{2}x + 3 = 5.5[/tex]
B. [tex]2x = 5[/tex]
C. [tex]x \div 2 = 1.25[/tex]
D. [tex]x - 10 = 7.5[/tex]

Answer :

Final answer:

The equation 2x = 5 is not true for the value of x = 2(1)/(2).

Explanation:

This question is about solving equations. We need to check which equation is not true when the value of x is substituted. Let's go through each equation to find the incorrect one.

  1. 2(1)/(2) x + 3 = 5.5: When we substitute x = 2(1)/(2), we get 2(1)/(2) * (2(1)/(2)) + 3 = 5.5. Simplifying further, we have 1 + 3 = 5.5, which is true.
  2. 2x = 5: When we substitute x = 2(1)/(2), we get 2 * 2(1)/(2) = 5. Simplifying, we have 2 = 5, which is not true. Therefore, this equation is NOT true for the given value of x.
  3. x - 2 = 1.25: When we substitute x = 2(1)/(2), we get 2(1)/(2) - 2 = 1.25. Simplifying, we have 1 - 2 = 1.25, which is not true. Therefore, this equation is NOT true for the given value of x.
  4. x - 10 = 7.5: When we substitute x = 2(1)/(2), we get 2(1)/(2) - 10 = 7.5. Simplifying, we have 1 - 10 = 7.5, which is not true. Therefore, this equation is NOT true for the given value of x.

Out of the given equations, the equation 2x = 5 is NOT true when x = 2(1)/(2).

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