mohamedkassime12
Answered

Welcome to Westonci.ca, your ultimate destination for finding answers to a wide range of questions from experts. Get expert answers to your questions quickly and accurately from our dedicated community of professionals. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

Which system of equations has the same solutions as the system below?
3x -y =7
2x + 3y = 12


(1) 6x -2y = 14
-6x + 9y = 36

(2) 18x - 6y = 42
4x + 6y = 24

(3)-9x - 3y = -21
2x + 3y = 12

(4) 3x - y = 7
x +y = 2​

Sagot :

Answer:

(2) 18x - 6y = 42

4x + 6y = 24

Step-by-step explanation:

3x -y =7

2x + 3y = 12

This system has solution x=3; y =2.

And also the system (2). So (2) it's the correct answer.

For a system of equations to have no real solution, the lines of the equations must be parallel to each other. The correct option is B.

What is a System of equations?

Inconsistent System

For a system of equations to have no real solution, the lines of the equations must be parallel to each other.

Consistent System

1. Dependent Consistent System

For a system of the equation to be a Dependent Consistent System, the system must have multiple solutions for which the lines of the equation must be coinciding.

2. Independent Consistent System

For a system of the equation to be an Independent Consistent System, the system must have one unique solution for which the lines of the equation must intersect at a particular.

The solution for the given system of equation is,

3x-y=7

y = 3x - 7

2x+3(3x-7)=12

2x + 9x - 21 = 12

11x = 33

x = 3

y = 2

The system of the equations which satisfies when the value of x=3 and y =2 is substituted will have the same solution as the above system.

A.) 6x -2y = 14

    -6x + 9y = 36

  • 6(3) - 2(2) = 14

        18 - 4 = 14

  • -6(3) + 9(2)

        -18 + 18 = 0

B.) 18x - 6y = 42

    4x + 6y = 24

  • 18(3) - 6(2) = 42

        54 - 12 = 42

  • 4(3) + 6(2) = 24

        12+12 = 24

Since, both the equation are satisfied this is our solution.

Hence, the correct option is B.

Learn more about System of the equation:

https://brainly.com/question/12895249

#SPJ2

We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.