Rewrite the equation 32=βˆ’25+9βˆ’π‘₯ π‘₯+7 as two equations joined by β€œand.”

1 answer

To rewrite the equation \( 32 = -25 + 9 - x + x + 7 \) as two equations joined by "and," first simplify the right side:

  1. Combine like terms: \(-25 + 9 + 7 = -9\)

So, the equation simplifies to: \[ 32 = -9 \]

Now, to express this as two equations, we can take the equation \( -9 = -9 \) (which is always true) and pair it with \( 32 = -9 \) as:

32 = -9 and -9 = -9.

However, \( 32 = -9 \) is not a valid or true statement. Therefore, we use a common approach to separate the original equation into two components:

  1. First equation: \( -25 + 9 - x + x = -9 \)
  2. Second equation: \( 32 = -9 \)

Thus, separating the process we have:

\( 32 = 32 \) and \( -9 = -9 \).

So we can correctly represent them as:

Answer: \( 32 = -25 + 9 - x + x \) and \( x + 7 = 7 \).