Question

Which statement must be true about the system below?

Answer 1

Answer:

Answer is D on edgetrash

Step-by-step explanation:

Answer 2

we are given

system of equations as:

$2h+8k=6$

we can see that all the terms are multiple of 2

so, we can factor out 2

$2(h+4k)=2*3$

we can simplify it

and we get

First equation:

$h+4k=3$

Second equation:

$-5h-20k=-15$

we can see that all terms are multiple of -5

so, we can factor out -5

$-5(h+4k)=-5*3$

now, we can simplify it

$-5(h+4k)=-5*3$

$h+4k=3$

we can see that

both equations are same

It means that we have only one equation

so, it can give many solution

so,

The system has infinitely many solutions...........Answer