2. solve the system of equations. write your answer in parametric vector notation. x, +5x2 + 4x3 + 3x4 +9xs = 18 2x, +6x2 + 4x3 + 6x4 +6x3 = 28 3x, + 7x2 + 4xz +10x4 +lxs = 41 4x, + 6x2 + 2x3 +7x4 + 4x3 = 29

The system is inconsistent.

Step-by-step explanation:

The system is

The associated matrix to the system is

Now we use row operations to find the echelon form of the matrix:

1. We substract to row 2, two times the row 1.

We substract to row 3, three times the row 1.

We substract to row 4, four times the row 1 and obtain the matrix

2. We multiply the second row of the preview step by -1/4. We obtain the matrix

3.

We add to row 3, eight times the row 2.

We add to row 4, fourtheen times the row 2 and obtain the matrix

4. We add to row 4 of the preview step, five times the row 3 and obtain the matrix

Using backward substitution we have that

, then and this is absurd. Then The system is inconsistent.

the function makes a strait line horizontally with no x intercept but a y intercept at 9.