for each pair of simultaneous equations writee a matrix equation using the kenyan secondary form 3 method
x+y=1
x-y=1

To write a matrix equation using the Kenyan Secondary Form 3 method, we represent the simultaneous equations in the form:

\[
A \cdot \vec{x} = \vec{b}
\]

Where:
- \( A \) is the matrix of coefficients,
- \( \vec{x} \) is the column vector of variables,
- \( \vec{b} \) is the column vector of constants.

Given the system of equations:
1. \( x + y = 1 \)
2. \( x - y = 1 \)

### Step 1: Form the coefficient matrix
The coefficients of \( x \) and \( y \) in both equations are as follows:

\[
\begin{bmatrix}
1 & 1 \\
1 & -1
\end{bmatrix}
\]

### Step 2: Form the variable vector
The variables are \( x \) and \( y \), so the variable vector is:

\[
\begin{bmatrix}
x \\
y
\end{bmatrix}
\]

### Step 3: Form the constant vector
The constants on the right-hand side of the equations are:

\[
\begin{bmatrix}
1 \\
1
\end{bmatrix}
\]

### Step 4: Write the matrix equation
Now, combining all the components:

\[
\begin{bmatrix}
1 & 1 \\
1 & -1
\end{bmatrix}
\begin{bmatrix}
x \\
y
\end{bmatrix}
=
\begin{bmatrix}
1 \\
1
\end{bmatrix}
\]

This is the matrix equation that represents the given system of simultaneous equations.

Would you like me to solve this matrix equation or provide further details on how to solve it?

Here are 5 relative questions you might find interesting:
1. How do we solve matrix equations using Gaussian elimination?
2. What is the determinant of a 2x2 matrix, and why is it important for solving simultaneous equations?
3. How can we represent larger systems of equations in matrix form?
4. Can simultaneous equations be solved using inverse matrices? How?
5. How does matrix representation relate to systems of linear equations in general?

**Tip:** When working with simultaneous equations, matrix methods such as using the inverse of a matrix can be efficient, especially when solving larger systems of equations.

For each pair of simultaneous equations, write a matrix equation using the Kenyan Secondary Form 3 method: x + y = 1, x - y = 1

This article explains how to write a matrix equation for the system of simultaneous equations x + y = 1 and x - y = 1 using the Kenyan Secondary Form 3 method. The solution covers key concepts in linear algebra, including coefficient matrices, variable vectors, and constant vectors. Suitable for students in Grades 10-12.

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