The sum of three consecutive integers is -206 . What is the largest integer?

Mathematics

1 answer:

solniwko [45]3 years ago

8 0

Answer:

Can' possible......

Step-by-step explanation:

Let suppose the numbers are:

x + 1

x + 2

Now according to given condition:

x + x +1 + x+ 2 = -206

By adding we get:

3x + 3 = -206 Subtracting 3 from both sides:

3x + 3 - 3 = -206 -3

Both terms on right side have negative sign so we will add them. (answer will have negative sign.)

3x = -209

Dividing both sides by 3:

x = -209/3

x = -69.6666

that is not an integer so the question is wrong.

I hope it will help you!

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jenyasd209 [6]

Answer: The system of equations is:

x + 2y + 2 = 4

y - 3z = 9

z = - 2

The solution is: x = -22; y = 15; z = -2;

Step-by-step explanation: ONe way of solving a system of equations is using the Gauss-Jordan Elimination.

The method consists in transforming the system into an augmented matrix, which is writing the system in form of a matrix and then into a Row Echelon Form, which satisfies the following conditions:

There is a row of all zeros at the bottom of the matrix;
The first non-zero element of any row is 1, which called leading role;
The leading row of the first row is to the right of the leading role of the previous row;

For this question, the matrix is a Row Echelon Form and is written as:

$\left[\begin{array}{ccc}1&2&2\\0&1&3\\0&0&1\end{array}\right]$ $\left[\begin{array}{ccc}4\\9\\-2\end{array}\right]$