Question

Find the value of k of linear equations 3x+4y =k and 9x+12y=6 has Infinitely many solutions.... Plzz solve this. ​

Answer 1

a1/a2 = b1/b2 = c1/c2

3/9 = k/6

k = 18/9 = 2

k = 2

hope it helped you

Answer 2

$\large{explanation}$

given

3x+4y=k.....(1)

9x+12y=6

3(3x+4y)=6

3x+4y=2.....(2)

.........................

now the equations

3x+4y=k

3x+4y=2

for infinite solutions

$\frac{a1}{a2} = \frac{b1}{b2} = \frac{c1}{c2}$

comparaing this we get

$\frac{3}{3} = \frac{4}{4} = \frac{k}{2}$

$\frac{3}{3} = \frac{4}{4} ..... \frac{4}{4} = \frac{k}{2}$

$\frac{1}{1} = \frac{1}{1} ......8 = 4k$

$1 = 1.......k = 2$

the value of k is 2

$\large{vergilmustdie}$