Question

If the pair of equations x+2y=3 and 2x+4y=k are coincide then find the value of k​

Answer 1

Answer:

If the pairs of equations are coincident, then

a1/a2=b1/b2=c1/c2

Where a1 is the coefficient of x of the first equation of the pair, b1 is the coefficient of y of the first equation of the pair and c1 is the constant term of the first equation of the pair.

Similarly, a2 is the coefficient of x of the second equation of the pair, b2 coefficient of y of the second equation of the pair and c2 is the constant term of the second equation of the pair.

Step-by-step explanation:

a1/a2= 1/2

b1/b2=2/4=1/2

c1/c2= 3/k

Since the pair of equations are coincident,

a1/a2=b1/b2=c1/c2

1/2=2/4=3/k

1/2=3/k

Cross Multiplying,

k=6.

And, hence the value of k is 6.