Question

for which value of k the equation have on solution 3 X + Y= 1
( 2 k - 1 ) X + (K - 1) Y =2 k + 1​

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

Answer:3x +y = 1

Subtract 1 both side we get

3x + y – 1 = 0

(2k –1) x + (k –1) y   = 2k + 1

Subtract 2k +1 both side we get

(2k –1) x + (k –1) y – (2k + 1)= 0

3x+y=1 and

(2k-1)x+(k-1)y=2k+1

They can be rewrite as:

3x + y - 1 = 0 and

(2k-1)x + (k-1)y - (2k+1) = 0  

Compare with

We get  

And for no solution

Take

 

Cross multiply we get

3k - 3 = 2k - 1

k = 3-1

k = 2