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Is the following linear equations system an homogeneus system?

open table row cell 5 times x plus 4 times y minus 5 times z equals 0 end cell row cell 4 times x plus 5 times y plus 2 times z minus 10 equals 0 end cell row cell 5 times x plus y plus 5 times z plus 3 equals 0 end cell end table close curly brackets
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