X-7=-2 a value of x that makes this equation true is _ which when subsitutied into the equation and simplified makes the equation turn into _=_ a value of x that makes the equation false is _ which when subsituted into the equation and simplified makes the equation turn into _=_

Answer 1

To solve the equation \( X - 7 = -2 \):

1. Find the value of \( X \) that makes the equation true:

   \[ X - 7 = -2 \]

   To find \( X \), we add 7 to both sides:

   \[ X = -2 + 7 \]

   \[ X = 5 \]

   So, a value of \( X \) that makes this equation true is \( 5 \).

   Substituting \( X = 5 \) into the equation:

   \[ 5 - 7 = -2 \]

   Simplifying this gives:

   \[ -2 = -2 \]

   So, this shows the equation holds true.

2. Find a value of \( X \) that makes the equation false:

   Let's pick a value that is different from the solution we found. For instance, let's choose \( X = 0 \).

   Substituting \( X = 0 \) into the original equation:

   \[ 0 - 7 = -2 \]

   Simplifying this gives:

   \[ -7 = -2 \]

   This is not true (as \(-7 \neq -2\)). So, a value of \( X \) that makes the equation false is \( 0 \).

3. Final statements:

   • A value of \( X \) that makes this equation true is 5, which when substituted into the equation and simplified makes the equation turn into -2 = -2.
   • A value of \( X \) that makes the equation false is 0, which when substituted into the equation and simplified makes the equation turn into -7 = -2.