https://r2.erweima.ai/mathbot/image/17266681801859j0aov9l.jpg

I can help solve these math problems from the image. Let’s go through them one by one:

### 1. Which term(s) describe(s) this system of equations?
\[
\begin{aligned}
4x + y &= 8 \\
3x - 2y &= -5
\end{aligned}
\]
This is a system of linear equations. We need to determine if it is consistent, inconsistent, dependent, or independent. We can either solve the system using substitution, elimination, or compare the ratios of the coefficients to understand the relationship between the two lines.

### 2. Which system of equations is shown by the graph?
We need to observe the points of intersection and the slope of the lines to match the graph to one of the given systems.

### 3. Solve algebraically: 
\[
5x - y = 16 \\
2x + 3y = 3
\]
This is a system of linear equations. We can solve using substitution or elimination to find \(x\) and \(y\).

### 4. Solve algebraically:
\[
x - 3y - 3z = 0 \\
2x + 5y - 5z = 1 \\
4x + 5y - 6z = -9
\]
This is a system of three equations with three unknowns. We can use substitution, elimination, or matrix methods to solve for \(x\), \(y\), and \(z\).

### 5. Find \( A - B \) if:
\[
A = \begin{bmatrix} -5 & 0 \\ 1 & 4 \end{bmatrix}, \quad B = \begin{bmatrix} -1 & -2 \\ 6 & 3 \end{bmatrix}
\]
We subtract matrix \(B\) from matrix \(A\).

### 6. Find the values of \(x\) and \(y\) for which the equation:
\[
\frac{3y}{2x} = \frac{x + 5}{6y} = 10
\]
We need to solve the equation by isolating variables \(x\) and \(y\).

### 7. Find \(DE\) if \(D = [5 \ 2]\) and \(E = \begin{bmatrix} 9 \\ -6 \end{bmatrix}\).
This involves matrix multiplication.

### 8. A triangle with vertices \(A(-3, 4)\), \(B(3, 1)\), and \(C(1, -5)\) is translated 5 units left and 3 units up.
We can calculate the new coordinates for \(A'\), \(B'\), and \(C'\) by applying the translation.

### 9. Find the value of \( \frac{5}{7} \left| -1 \right| \).
This is a simple arithmetic problem.

---

Let me know which problem you'd like to focus on first or if you'd prefer me to solve all of them!

The user uploaded an image with multiple math problems including systems of equations, algebraic solving, matrix operations, and geometry problems.

This page provides solutions to high school-level math problems including systems of equations, matrix operations, algebraic solving, and geometric translations. Learn key techniques like matrix subtraction, solving systems using substitution, and coordinate geometry transformations.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation