0.x+y=-3 find x and y
Answers
Answered by
0
Step-by-step explanation:
Given that, system of equations x+y−3=0,(1+k)x+(2+k)y−8=0 & x−(1+k)y+(2+k)=0 is consistent.
treating the given system as, 3 equations in 3 variables.
Augumented matrix is
⎣
⎢
⎢
⎡
1
1+k
1
1
2+k
−1−k
0
0
0
3
8
−2−k
⎦
⎥
⎥
⎤
above system is consistent if
∣
∣
∣
∣
∣
∣
∣
∣
1
1+k
1
1
2+k
−1−k
3
8
−2−k
∣
∣
∣
∣
∣
∣
∣
∣
=0
⇒(−k
2
+4k+4)+(k62+3k+10)−3(k
2
+3k+3)=0
⇒3k
2
+2k−5=(k−1)(3k+5)=0
∴k=1 or k=
3
−5
Hence, options A and C.
Answered by
0
Answer:
0.x + y = -3
from here we get,
y = -3, and
x can be any real number as any number multiplied by zero, the answer is zero.
If you have any doubt then you check by putting values.
If you like my answer then mark me as brainlist.
Similar questions