Find an expression which represents the difference when left parenthesis, 10, x, minus, 9, right parenthesis(10x−9) is subtracted from left parenthesis, 9, x, plus, 7, right parenthesis(9x+7) in simplest terms.

Answer 1

To find the expression representing the difference when \((10x - 9)\) is subtracted from \((9x + 7)\), we need to set up the expression as follows:

\[ (9x + 7) - (10x - 9) \]

Now, let's simplify this step-by-step:

1. Distribute the negative sign in front of the second parenthesis:

\[ (9x + 7) - 10x + 9 \]

2. Now, combine like terms:

• Combine the \(x\) terms: \(9x - 10x = -1x\)
• Combine the constant terms: \(7 + 9 = 16\)

Putting it all together, we have:

\[ -1x + 16 \]

This simplifies to:

\[ 16 - x \]

Thus, the expression representing the difference when \((10x - 9)\) is subtracted from \((9x + 7)\) in simplest terms is:

\[ 16 - x \]