Find the value of k, so that the following system is consistent:
x + y = 1
kx + y = 2
x + ky = 3
So, we know that kx + y = 2.
Dividing everything by k, we get x + y/k = 2/k
Let's go to the first equation for a moment - this is x + y = 1.
Dividing everything by k, we get x/k + y/k = 1/k.
x + y/k = 2/k
x/k + y/k = 1/k
x - x/k = 1/k
Try this!
+357 Okay...
First, we isolate x+y=1 into
x=1-y
Then we isolate k into
k(1-y)+y=2
Which gets us k=(2-y)/(1-y)
Now we know that y can't be 1
We then isolate y.
1-y+(2-y)/(1-y)=3
Y is 2/3
Substitude 2/3
And we get... k=4
Substitude AGAIN and we get x=1/3
BABABABOWWWW!
Yay!
Edit:
It's not that I'm sensitive, but I really need to know the point of downvoting someone... am I wrong lol?
