Both continued their promising early-season performances by finding the net as the Selecao thumped their neighbours and took one big step towards the 2018 tournament in Russia.
Coutinho netted the second of four first-half Brazil goals by slotting home on 25 minutes with Neymar having earlier opened the scoring.
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The win ensures manager Tete keeps his unbeaten start as Brazil manager, having won all of his opening tree matches, and keeps the Brazilians second in the 10-team South American qualifying table.
Incredibly, the result also means that Boliva are still without a World Cup qualifying victory since 1993 – and we think Scotland are bad!
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Brazil are next in action on Wednesday, when they face the slightly trickier task of travelling to Venezuela.
What do you make of the goals?