Using Cramer's rule, solve the following.

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$$x + y + z = 6$$ $$3x - y + 2z = 7$$ $$ 3y -4z = -6$$

Tried everything. When I check my answer its incorrect, even when I check the example in my handbook I see its answer is wrong. Would like to see the correct method to solve this equation.

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$$x + y + z = 6$$$$ 3x - y + 2z = 7$$ $$0x+ 3y -4z = -6$$

( I think you might have did something with $x$ in 3rd equation )

You should get $$\Delta=19 , \Delta_1=19, \Delta_2=38, \Delta_3=57$$ $$\Rightarrow x=1 , y=2 , z=3$$