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`2x + 3y =0, 4x + 3y - z = 0, 8x + 3y + 3z = 0` Solve the system of linear equations and check any solutions algebraically.

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Eq1: `2x+3y=0`

Eq2:`4x+3y-z=0`

Eq3:`8x+3y+3z=0`

Multiply equation 2 by 3,

`12x+9y-3z=0` 

Now add the above equation and equation 3,

`(8x+3y+3z)+(12x+9y-3z)=0`

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