Which statement must be true about the system below? the system has exactly one solution. the system has exactly two solutions. the system has no solutions. the system has infinitely many solutions.

The system has infinitely solutions

Step-by-step explanation:

The system shown in the attached picture can be simplify by performing natural divisions

Since the equations are equal in terms, we have a system where one equation is a contradiction of the other

On one side it says h+4k=4 and the other says h+4k=3

This system has more variables than equations, it has infinitely solutions

 The system has infinitely many solutions.

Step-by-step explanation:

The given system of equations :

Let

Now,

[Divide numerator and denominator by 4]

[Divide numerator and denominator by 3]

⇒

It means the system is linearly dependent and so it has infinitely many solutions.

fabric (square meters)                   cloaks

7                                                           21

4/3                                                         4

step-by-step explanation:

we are told that harry needs 2 square meters of fabric for every 6 wizard cloaks he makes.

1. first of all we will find how many cloaks can be made from 1 square meter of fabric by dividing 6 by 2.

we can see that 3 cloaks can be made from 1 square meter of fabric. now we will multiply 3 by 7 to find number of cloaks made from 7 square meters of fabric.

therefore, harry will make 21 cloaks from 7 square meters of fabric.

2. let us find how many square meters of fabric will be needed to make 4 cloaks.

first of all we will find fabric needed for 1 cloak by dividing 2 by 6.

we can see that fabric needed for 1 cloak is   square meter. now we will multiply   by 4 to find fabric needed for 4 cloaks.