Two fifth grade classes are attending an amusement park as a field trip. Their teachers
1 answer:
You might be interested in
Answer:
<h2>a = 3</h2>Step-by-step explanation:
The slope of a line given two points can be found by using the formula
From the question the slope is - 3
To find the value of a we have
Divide both sides by - 3
We have the final answer as
<h3>a = 3</h3>Hope this helps you
Answer:
The reduced row-echelon form is
The solutions to the system of equations are:
Step-by-step explanation:
To solve this system of linear equations,
you must:
Step 1: Transform the augmented matrix to the reduced row echelon form.
In an augmented matrix, each row represents one equation in the system and each column represents a variable or the constant terms.
This is the augmented matrix that represents the system.
It can be transformed by a sequence of elementary row operations to the matrix.
There are three kinds of elementary matrix operations.
- Interchange two rows (or columns).
- Multiply each element in a row (or column) by a non-zero number.
- Multiply a row (or column) by a non-zero number and add the result to another row (or column).
Using elementary matrix operations, we get that
Row Operation 1: add -2 times the 1st row to the 2nd row
Row Operation 2: add 1 times the 1st row to the 3rd row
Row Operation 3: multiply the 2nd row by -1/3
Row Operation 4: add -2 times the 2nd row to the 3rd row
Row Operation 5: add 4 times the 2nd row to the 1st row
Step 2: Interpret the reduced row echelon form
The reduced row echelon form of the augmented matrix is
which corresponds to the system
The system has infinitely many solutions.