Question

Matrix question (WHY ?)

Answer 1

Question :
3x + 7y =2
6x+14y = 4

*Question has coincident lines, infinitely many solutions*

Answer:
\[(k,\frac{ 2-3k }{ 7 }) ; k \in R\]

Explain the answer briefly

Answer 2

@hba

Answer 3

do u see any similarity between first two equations?

Answer 4

yea, 1/2 = 1/2 = 1/2 and I don't understand the answer given

Answer 5

So what are we solving for here?

Answer 6

*Question has coincident lines, infinitely many solutions*
^ You understand this, right?

Answer 7

(k,2−3k7);k∈R what does this means ?

Answer 8

k = any real numbers.
Since it has infinitely many solutions, any number lying on the line 3x + 7y =2 is the solution.
Suppose x=k, sub x=k into 3x + 7y =2
y = (2-3k)/7

So, the corresponding solution pair is (k, (2-3k)/7) for all real k.