Find the value of k such that the system of

dailinoyf

dailinoyf

Answered question

2021-11-13

Find the value of k such that the system of linear equations is inconsistent.
{4x8y=32x+ky=16

Answer & Explanation

Troy Lesure

Troy Lesure

Beginner2021-11-14Added 26 answers

{4x8y=32x+ky=16
Multiply the second equation by -2
{4x8y=34x2ky=32
Add the first equation into the second:
4x8y4x2ky=332
8y2ky=35
The system will be inconsistent if
8y2ky=0,yR
We find k:
8y+2ky=0 yR
2y(4+k)=0 yR
Therefore, k=4

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