Question

If the pair of linear equations, 2x +3y = 5 and 4x +ky =10 has

infinitely many solutions, then value of k is​

Answer 1

Answer:

6

Step-by-step explanation:

As there are infinitely many solutions to these pair of lines. it means that both the limes are coincident (inside) each other.

which means that both the lines are the same line.

by these statements we can conclude that,

2x+3y=5 and 4x+ky=10 are the same line

so to find k,

we can make the constant same and equate the lines as follows:-

2(2x+3y=5) => 4x+6y=10 ....(1)

4x+ky=10 ....(2)

as the value on the right hand side are equal,

we can equate these equations,

4x+ky=4x+6y

subtracting 4x from both sides we get,

4x-(4x+ky)=4x-(4x+6y)

(-ky)=(-6y)

cut "-y" from both sides;

k=6