Question 1

Question

Show how to evaluate the equation for x = 2 and x = 5. Without simplifying first plug in the x values, then evaluate.

y = 5 + 3x - 7 - 2x

(2 points)..

Answer 1

To evaluate the equation \( y = 5 + 3x - 7 - 2x \) for \( x = 2 \) and \( x = 5 \), we will first substitute the x-values into the equation without simplifying.

Step 1: Plug in \( x = 2 \)

Substituting \( x = 2 \) into the equation:

\[ y = 5 + 3(2) - 7 - 2(2) \]

Step 2: Plug in \( x = 5 \)

Now, substituting \( x = 5 \):

\[ y = 5 + 3(5) - 7 - 2(5) \]

Step 3: Evaluate

Now we will evaluate both expressions.

1. For \( x = 2 \):

\[ y = 5 + 3(2) - 7 - 2(2) \] \[ = 5 + 6 - 7 - 4 \] \[ = 5 + 6 - 7 - 4 = 0 \]

So, when \( x = 2 \), \( y = 0 \).

2. For \( x = 5 \):

\[ y = 5 + 3(5) - 7 - 2(5) \] \[ = 5 + 15 - 7 - 10 \] \[ = 5 + 15 - 7 - 10 = 3 \]

So, when \( x = 5 \), \( y = 3 \).

Summary of Results

• For \( x = 2 \), \( y = 0 \)
• For \( x = 5 \), \( y = 3 \)