Question

Determine the value of k if 3x+4y=28 and 1.5x + 2y =5k will have infinete solutions

Answer 1

3x+4y=28,a1=3,b1=4 & c1=28
1.5x+2y=5k,a2=1.5,b2=2 & c2=5k

For infinite solutions,
a1/a2=b1/b2=c1/c2
Now,
a1/a2=c1/c2
3/1.5=28/5k
2=28/5k
k=14/5
Now,
b1/b2=c1/c2
4/2=28/5k
k=14/5
Therefore for k=14/5 the pair of linear equation will have infinite solution.

Answer 2

Answer:

find the value of K in the equation 5k+3=28 and also verify