Question

1) Carefully follow the steps to find the solution to the three equation system.

Answer 1

Step-by-step explanation:

a. we simply subtract 3. from 2.

x + 2y + z = 15

- -3x + y + z = 2

--------------------------

4x + y 0 = 13

b. we multiply 3. by 3 and then subtract from 1.

2x - 4y + 3z = -7

- -9x + 3y + 3z = 6

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11x - 7y 0 = -13

c. we multiply the result of a. by 7, and then simply add a. and b., because the y terms have different signs already.

28x + 7y = 91

+ 11x - 7y = -13

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39x 0 = 78

39x = 78

x = 2

d. we use this x = 2 in the result of a.

4×2 + y = 13

8 + y = 13

y = 5

e. using x = 2 and y = 5 in 2.

2 + 2×5 + z = 15

2 + 10 + z = 15

12 + z = 15

z = 3

the solution is therefore (2, 5, 3).

Answer 2

Answer:

2,5,3

Step-by-step explanation:

x=2

y=5

z=3