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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

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