What are the classifications of each system? drag the answer into the box to match each system. {4x−2y=102x−y=5 {y=2x−3−2x+y=−5 {2x−5y=143x+4y=10

we know that

If a system has exactly one solution, it is a consistent independent system.

If a system has an infinite number of solutions, it is a consistent dependent system .

If a system has no solution, it is said to be inconsistent

We're going to solve each system to determine its classification

case A)

------> equation A

------> equation B

Multiply equation B by both sides

----->

Equation A and equation B are the same line

Therefore

The system has an infinite number of solutions

The answer case A) is

The system is a consistent dependent system (coincident)

case B)

------> equation A

------> equation B

Isolate the variable y in the equation B

Both lines are parallel lines, because has the same slope

Therefore

The system has no solution

the answer case B) is

The system is inconsistent

case C)

------> equation A

------> equation B

Multiply equation A by and equation B by both sides

----->

 ----->

Adds the equations

Find the value of y

therefore

The system has one solution

The answer case C) is

The system is a consistent independent system

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step-by-step explanation:

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.