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Multiply all terms in the second equation by 5:

11x+10y = 147

0x+10y = 70

Subtract the second equation from the first equation in order to eliminate y:

11x = 77

Divde both sides by 11 in order to find the value of x:

x = 7

Substitute the value of x into the original equations to find the value of y:

Therefore it follows that x = 7 and y = 7

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