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2x + 5y = 8

4x - 3y = 3

You are working with a system of equations, containing 2 variables. There is no need to use a matrix nor any complex method, just simple elimination:

2(2x + 5y) = 2(8) = 16

4x - 3y = 3

4x + 10y = 16

4x - 3y = 3

Subtract both equations:

13y = 13

Divide by 13:

y = 1

Plug it back into the original equation:

2x + 5(1) = 8

2x = 8 - 5 = 3

x = 3/2 = 1.5.

Therefore, your ordered pair is: (1.5, 1).

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