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3 years ago

Solve the system.

Mathematics

1 answer:

Alex777 [14]3 years ago

6 0

Answer:

{x,y,z} = {-18,4,2}

Step-by-step explanation:

Solve equation [2] for the variable x

x = -10y + 2z + 18

Plug this in for variable x in equation [1]

(-10y+2z+18) + 9y + z = 20

- y + 3z = 2

Plug this in for variable x in equation [3]

3•(-10y+2z+18) + 27y + 2z = 58

- 3y + 8z = 4

Solve equation [1] for the variable y

y = 3z - 2

Plug this in for variable y in equation [3]

- 3•(3z-2) + 8z = 4

- z = -2

Solve equation [3] for the variable z

z = 2

By now we know this much :

x = -10y+2z+18

y = 3z-2

z = 2

Use the z value to solve for y

y = 3(2)-2 = 4

Use the y and z values to solve for x

x = -10(4)+2(2)+18 = -18

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