System of equations problem? Augmented matrix method?

Solve the following system using augmented matrix methods:

−4x+8y=−8, −8x+16y=−18

The initial matrix is:

(b) First, perform the Row Operation 1−4R1→R1

(c) Next, perform the operation +8R1+R2→R2. The resulting matrix is:

(d) Finish simplifying the augmented matrix. The reduced matrix is:

3 Answers

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  • 5 months ago

    −4x + 8y = −8, −8x + 16y = −18

    No solutions exist.

  • DWRead
    Lv 7
    5 months ago

    There is no solution to the system, not the way you typed it.

    If -4x+8y = -8, then -8x+16y = -16. This contradicts the second equation in the system.

  • 5 months ago

    (b) Assuming by 1-4 you mean negative one fourth, 

    R1 of the matrix becomes 1 -2 2

    (c) 8 R1 = 8 -16 16 so that plus R2 becomes 0 0 -2 (which means the system is inconsistent, having no solution) so don't need to go any farther

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