Answered

Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Get quick and reliable solutions to your questions from a community of seasoned experts on our user-friendly platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

What is the solution of the following system? Use the elimination method. {4x 2y=66x−4y=−12 The solution is (32, 0). The solution is (0, 3). There are an infinite number of solutions. There is no solution.

Sagot :

The solution of the system of equations is (0, 3).

The correct option is B.

What is the elimination method?

The elimination method is one of the techniques to solve the system of linear equations.

Given

The system of equations is;

[tex]\rm 4x+2y=66\\\\x-4y=-12[/tex]

Solving the equation by using the elimination method.

Multiply equation 1 by 4

[tex]\rm 4x+2y=6\\\\ 16x+8y=24[/tex]

Multiply equation 2 by 2

[tex]\rm 6x-4y=-12\\\\12x-8y=-24[/tex]

Adding both the equations

[tex]\rm 16x+8y+12x-8y=24-24\\\\ 28x=0\\\\x=0[/tex]

Substitute the value of x in equation 1

[tex]\rm 4x+2y=6\\\\4(0)+2y=6\\\\2y=6\\\\y=\dfrac{6}{2}\\\\y=3[/tex]

Hence, The solution is (0, 3).

To know more about the Elimination method click the link given below.

https://brainly.com/question/3580300

Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.