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

Expert Answers

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Eq1: `2x+3y=0`



Multiply equation 2 by 3,


Now add the above equation and equation 3,






Now let's solve the above equation and equation 1,



Subtract the above equations




Substitute back the value of x,





Plug in the value of x and y in equation 2,

`4(0)+3(0)-z=0` ` `



Solutions of the equations are x=0, y=0 and z=0

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