Question

Question 1

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.............................

Answer 1

To evaluate the equation \( y = 5 + 3x - 7 - 2x \) for \( x = 2 \) and \( x = 5 \), follow these steps for each value of \( x \):

1. **Substitute \( x \) into the equation** without simplifying first.
2. **Evaluate** the resulting expression.

### For \( x = 2 \):

1. Substitute \( x = 2 \):
\[
y = 5 + 3(2) - 7 - 2(2)
\]

2. Evaluate:
\[
y = 5 + 6 - 7 - 4
\]
\[
y = 5 + 6 = 11
\]
\[
y = 11 - 7 = 4
\]
\[
y = 4 - 4 = 0
\]

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

### For \( x = 5 \):

1. Substitute \( x = 5 \):
\[
y = 5 + 3(5) - 7 - 2(5)
\]

2. Evaluate:
\[
y = 5 + 15 - 7 - 10
\]
\[
y = 5 + 15 = 20
\]
\[
y = 20 - 7 = 13
\]
\[
y = 13 - 10 = 3
\]

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

### Summary of Results:
- For \( x = 2 \), \( y = 0 \)
- For \( x = 5 \), \( y = 3 \)