Diophantine equations: how do I solve this system of them?

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DDs wife

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5x + 7y = 135
2x + 3y == 11 mod 4

I solved the first one, x = 20+7t and y = 5 - 5t, t an integer

What I don't know is how to solve the second one. Can someone help me here?

It's not a piece of homework. Only serious replies from mathematicians, please

Thanks

Ana
 
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