The solution of 3x-2y=3 and 2x+3y=2 is: A. (1,0) B. (0,1) C. (1,1) D. (0,0) E. None of the above.

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justaguide | College Teacher | (Level 2) Distinguished Educator

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The solution of the set of equations 3x-2y=3 and 2x+3y=2 has to be determined.

3x-2y=3 ...(1)

2x+3y=2 ...(2)

3*(1) - 2*(2)

=> 9x - 6y - 4x - 6y = 9 - 4

=> 5x = 5

=> x = 1

Substituting x = 1 in (1)

3 - 2y = 3

=> y = 0

The solution of the set of equations is (1, 0).

The correct answer is option A.

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