What is the value of the expression below when z, equals, 2*z*=2 and w, equals, 9*w*=9?

10, z, plus, 6, w

10*z*+6*w*


To find the value of the expression \(10z + 6w\) when \(z = 2\) and \(w = 9\):

1. Substitute \(z = 2\) into the expression:
   \[
   10z = 10 \times 2 = 20
   \]

2. Substitute \(w = 9\) into the expression:
   \[
   6w = 6 \times 9 = 54
   \]

3. Add the results together:
   \[
   10z + 6w = 20 + 54 = 74
   \]

Thus, the value of the expression is **74**.

Would you like any further explanation or details? Here are some related questions:

1. How would the expression change if \(z = 3\) and \(w = 7\)?
2. Can you explain how to factorize the expression \(10z + 6w\)?
3. What happens to the expression if both \(z\) and \(w\) are negative?
4. How does the expression \(10z + 6w\) relate to linear equations?
5. What is the result of dividing the expression \(10z + 6w\) by 2?

**Tip:** Always double-check your substitutions to ensure accuracy in calculations.

Find the value of the expression 10z + 6w when z equals 2 and w equals 9. Step-by-step solution with arithmetic substitution. Suitable for Grades 4-6.

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