What is the solution to this system of equations? Two-thirds x + y = 6. Negative two-thirds x minus y = 2. (1, Negative 1) (0, 8) infinitely many solutions no solution

Respuesta :

Answer:

D - No solution

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Step-by-step explanation:

The equations are:

2/3x + y = 6

-2/3x - y = 2

Using elimination, you can cancel out the 2/3's and y's in both equations, which will leave you with "6 = 2". This statement is incorrect, so the answer is no solution.

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The solution to the system of equations is: no solution.

How to Find Solution to the System of Equations?

The solution of a system of equations is the corresponding values of x and y that makes both equations equivalent.

Given:

2/3x + y = 6

-2/3x - y = 2

If both equations are added to eliminate variable x, the resultant equation we will have is:

6 = 2 (this is not true).

This implies no solution.

Therefore, the solution to the system of equations is: no solution.

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