Question

For what value of k the following system of equation have a unique solution
2x+k=1
3x-5y=7

Answer 1

Unique solution = A1 /A2 ≠ B1/B2 = C1 / C2

2/3 ≠ k/-5 = 1/7

7k = -5

k = -5/7

Hence, the value of K is -5/7

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Answer 2

Step-by-step explanation:

2x+k=1

2x=1-k

x=1-k

2

3x-5y=7. then

3(1-k)-5y=7

2

1-k-5y=7

2 3

1-k-5y =7×2

3

-k-5y =7×2 -1

3

=14-3

3

=-11×5

3

k =-55 +y

3