https://file.aiquickdraw.com/mathbot/file/1725931215212cq1afplo.jpg

I can help solve the equations from the image you've uploaded. Here's a breakdown of the questions visible in the image:

### 15) 
\[
p = -(9 - (m + q)); \text{ use } m = 4, p = 5, \text{ and } q = 3
\]
Substitute values:
\[
p = -(9 - (4 + 3)) = -(9 - 7) = -2
\]
So, \( p = -2 \), but since \( p = 5 \) is given, this suggests an inconsistency in the equation setup.

### 16) 
\[
(x^2 - h) + 6; \text{ use } x = 5, h = 4, \text{ and } b = 1
\]
Substitute values:
\[
(5^2 - 4) + 6 = (25 - 4) + 6 = 21 + 6 = 27
\]

### 17) 
\[
6 + h^2 - j + 2; \text{ use } h = 6, j = 4
\]
Substitute values:
\[
6 + 6^2 - 4 + 2 = 6 + 36 - 4 + 2 = 40
\]

### 18) 
\[
y - (4 - x + z); \text{ use } x = 3, z = 2, \text{ and } y = 5
\]
Substitute values:
\[
5 - (4 - 3 + 2) = 5 - (4 + 1) = 5 - 5 = 0
\]

### 19) 
\[
x^3 + 3 - y^2; \text{ use } x = 3, y = 1
\]
Substitute values:
\[
3^3 + 3 - 1^2 = 27 + 3 - 1 = 29
\]

### 20)
\[
(p + q)^2 - (5 - 5); \text{ use } p = 1, q = 1
\]
Substitute values:
\[
(1 + 1)^2 - (5 - 5) = 2^2 - 0 = 4
\]

### 21) 
\[
12k - h^2; \text{ use } k = 3, h = 2
\]
Substitute values:
\[
12 \times 3 - 2^2 = 36 - 4 = 32
\]

### 22)
\[
y = 5 + 1 + x + 6; \text{ use } x = 6, y = 5
\]
Substitute values:
\[
5 + 1 + 6 + 6 = 18
\]
But since \( y = 5 \) was given, there might be a setup issue.

### 23)
\[
6 + z + x - y; \text{ use } x = 2, y = 5, z = 6
\]
Substitute values:
\[
6 + 6 + 2 - 5 = 9
\]

### 24)
\[
y - z + x + z - 6; \text{ use } x = 3, y = 4, z = 4
\]
Substitute values:
\[
4 - 4 + 3 + 4 - 6 = 1
\]

### 25)
\[
\frac{y}{2} + x + 4 + z + y; \text{ use } x = 7, y = 2, z = 4
\]
Substitute values:
\[
\frac{2}{2} + 7 + 4 + 4 + 2 = 1 + 7 + 4 + 4 + 2 = 18
\]

### 26)
\[
c \times \frac{bc}{4} - (7 - a); \text{ use } a = 4, b = 8, c = 5
\]
Substitute values:
\[
5 \times \frac{8 \times 5}{4} - (7 - 4) = 5 \times 10 - 3 = 50 - 3 = 47
\]

---

Would you like further clarification or a detailed breakdown of any specific step? 

Here are five related questions to expand your understanding:
1. What happens when one variable in an equation is inconsistent with its solution?
2. How do exponents affect the results of equations with multiple variables?
3. What are the properties of parentheses in equations like in question 15?
4. Why do negative signs change the result significantly in expressions like \( -(9 - (m + q)) \)?
5. How can substitution errors be avoided when handling larger systems of equations?

**Tip:** Always double-check if the given values of variables in an equation match the result to avoid inconsistency issues.

Solve all the equations in the provided image.

Explore how to solve algebraic equations using substitution and simplification techniques. This page offers step-by-step solutions to problems like p = -(9 - (m + q)) and y = 5 + 1 + x + 6. Ideal for students in Grades 6-8 learning algebra.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation