Question

Solve for me please

Answer 1

`{ \rm{10x + 5y + 2z = 5}} \\ { \rm{4x - 5y - 5z = 8}} \\ { \rm{3x + 5y + 4z = 1}}`

• First find x

`{ \rm{10x = 5 - 5y - 2z - - - (i)}}`

• Find y

`{ \rm{4x = 8 + 5y + 5z - - - (ii)}}`

• Find z

`{ \rm{3x = 1 - 5y - 4z - - - (iii)}}`

equate the three equations:

`{ \rm{0z - 10= 2y}} \\ \\ { \boxed{ \bf{y = - 5}}}`

Find z

`{ \rm{z = ( - 1 * - 5)}} \\ \\ { \boxed{ \bf{z = 5}}}`

Find x

`{ \rm{3x + 5y + 4z = 1}} \\ \\ { \rm{3x - 25 + 20 = 1}} \\ \\ { \rm{3x = 6}} \\ \\ { \boxed{ \bf{x = 2}}}`