Question

Find the solution to the system of equations represented by the matrix shown below. Use the matrix tool.

Answer 1

Steps please.

Answer 2

try to eliminate x 1st

6 x equation (1) + equation (3) gives

10y + 10y = 170 (4)

then equation (2) + equation(3) gives

5y + 12z = 127 (5)

then its (4) - 2 x (5)

10y + 10z = 170
- 10y + 24z = 254

-14z = -84

z = 6

sub into (4) to find y

10y + 10(6) = 170

10y = 110

y = 11

sub y = 11 and z = 6 into equation 1 to find x

x + 11 + 6 = 22

x = 5

the solution x = 5, y = 11 z = 6

Answer 3

the equations are
x + y + z = 22 call it (1) matrix version 1 1 1 | 22
6x + y + 8z = 89 call it (2) 6 1 8 | 89
-6x + 4y + 4z = 38 call it (3) -6 4 4 | 38

the steps
eliminate x

6*(1) + (3) 10y + 10z = 170 call it equation (4)

(2) + (3) 5y + 12z = 127 call it equation (5)

now eliminate y

(4) - 2*(5)

-14z = -84

z = 6

substitute z = 6 into equation (5) to find y

5y + 72 = 127 5y = 55 y = 11


lastly find x by substituting y =11 and z = 6 into equation (1)

will give x + 11 + 6 = 22

x = 5

solution x = 5, y =11 and z = 6

hope this helps