What is the solution to the following system

Mathematics

2 answers:

zzz [600]4 years ago

3 0

$(4, -1, 3) \: is \: the \: answer.$

Neporo4naja [7]4 years ago

3 0

Answer:

Option C. (4, -1, 3)

Step-by-step explanation:

The given system of equations is

x + y + z = 6 -----(1)

x - y + z = 8 ------(2)

x + y - z = 0 -----(3)

We subtract equation 1 by 3

(x + y + z) - (x + y - z) = 6 - 0

z + z = 6

2z = 6

z = 3

Now we subtract equation 1 by 2

(x + y + z) - (x - y + z) = 6 - 8

2y = -2

y = -1

Now we put the values of x and y in equation 1

x + (-1) + 3 = 6

x + 2 = 6

x = 6 - 2 = 4

Therefore, the solution of the equations is (4, -1, 3).

Option C is the answer.

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Vector v is plotted below. What is the length of the x-component of v?

Rzqust [24]

Answer:

C. 1

Step-by-step explanation:

We can see that each box in the grid is one unit.

We count one box to the right on the horizontal axis and 4 boxes down on the vertical axes to obtain the components of vector v.

See graph in attachment.

Therefore the components of vector v is

$\binom{1}{-4}$ .

The length of the x component is 1 unit

Hence the correct answer is C.