Let's solve each part of Problem #2 step-by-step.
### Part a) Evaluate [tex]\( z + y + x \)[/tex] with given values
Given values:
- [tex]\( x = 4 \)[/tex]
- [tex]\( y = -1 \)[/tex]
- [tex]\( z = 1 \)[/tex]
We need to find the value of [tex]\( z + y + x \)[/tex].
1. Start with the given values:
[tex]\[
z = 1, \, y = -1, \, x = 4
\][/tex]
2. Substitute these values into the expression [tex]\( z + y + x \)[/tex]:
[tex]\[
z + y + x = 1 + (-1) + 4
\][/tex]
3. Evaluate the expression step-by-step:
[tex]\[
1 + (-1) = 0
\][/tex]
So,
[tex]\[
0 + 4 = 4
\][/tex]
Therefore, the value of [tex]\( z + y + x \)[/tex] is [tex]\( 4 \)[/tex].
### Part b) Evaluate [tex]\( pm + 6 \)[/tex] with given values
Given values:
- [tex]\( m = -2 \)[/tex]
- [tex]\( p = -3 \)[/tex]
We need to find the value of [tex]\( pm + 6 \)[/tex].
1. Start with the given values:
[tex]\[
m = -2, \, p = -3
\][/tex]
2. Substitute these values into the expression [tex]\( pm + 6 \)[/tex]:
[tex]\[
pm + 6 = (-3) \times (-2) + 6
\][/tex]
3. Evaluate the expression step-by-step:
[tex]\[
(-3) \times (-2) = 6
\][/tex]
So,
[tex]\[
6 + 6 = 12
\][/tex]
Therefore, the value of [tex]\( pm + 6 \)[/tex] is [tex]\( 12 \)[/tex].
### Summary
- The value of [tex]\( z + y + x \)[/tex] is [tex]\( 4 \)[/tex].
- The value of [tex]\( pm + 6 \)[/tex] is [tex]\( 12 \)[/tex].
