What is the solution of the system of linear equations 3x + 18y = 6 and 8x + 2y = 8

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The system of linear equations that has to be solved is

3x + 18y = 6 ...(1)

8x + 2y = 8 ...(2)

(1) - 9*(2)

=> 3x - 72x + 18y - 18y = 6 - 72

=> -69x = -66

=> x = `66/69`

=> x = `22/23`

Substitute in (2)

`2y = 8 - (8*22)/23`

=> `2y = 8/23`

=> `y = 4/23`

The solution of the system of linear equations is x = `22/23 ` and y = `4/23`

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