Answer:
[tex]{ \rm{10x + 5y + 2z = 5}} \\ { \rm{4x - 5y - 5z = 8}} \\ { \rm{3x + 5y + 4z = 1}}[/tex]
• First find x
[tex]{ \rm{10x = 5 - 5y - 2z - - - (i)}}[/tex]
• Find y
[tex]{ \rm{4x = 8 + 5y + 5z - - - (ii)}}[/tex]
• Find z
[tex]{ \rm{3x = 1 - 5y - 4z - - - (iii)}}[/tex]
equate the three equations:
[tex]{ \rm{0z - 10= 2y}} \\ \\ { \boxed{ \bf{y = - 5}}}[/tex]
Find z
[tex]{ \rm{z = ( - 1 \times - 5)}} \\ \\ { \boxed{ \bf{z = 5}}}[/tex]
Find x
[tex]{ \rm{3x + 5y + 4z = 1}} \\ \\ { \rm{3x - 25 + 20 = 1}} \\ \\ { \rm{3x = 6}} \\ \\ { \boxed{ \bf{x = 2}}}[/tex]
