What is the solution the the following system of equations: 2x + 3y – 4z = -1
x – 2y + 5z = 3
- 4x + y + z = 16
(-2,5,3)
(-3.6, .2, 1.4)
(2,5, -3)
(4, -7, -3)

The solution is (-2, 5, 3)

Step-by-step explanation:

2x + 3y - 4z = -1

2(-2) + 3(5) - 4(3) = -1

-4 + 15 - 12 = -1

-16 + 15 = -1

-1 = -1

x - 2y + 5z = 3

-2 - 2(5) + 5(3) = 3

-2 - 10 + 15 = 3

- 12 + 15 = 3

3 = 3

-4x + y + z = 16

-4(-2) + 5 + 3 = 16

8 + 5 + 3 = 16

16 = 16

Therefore, (-2, 5, 3) is a solution.

2x + 3y - 4z = -1

2(-3.6) + 3(0.2) - 4(1.4) = -1

-7.2 + 0.6 - 5.6 = -1

-12.8 + 0.6 = -1

-12.2 = -1

x - 2y + 5z = 3

-3.6 - 2(0.2) + 5(1.4) = 3

-3.6 -0.4 + 7 = 3

-4 + 7 = 3

3 = 3

-4x + y + z = 16

-4(-3.6) + 0.2 + 1.4 = 16

14.4 + 0.2 + 1.4 = 16

16 = 16

(-3.6, 0.2, 1.4) is not a solution.

2x + 3y - 4z = -1

2(2) + 3(5) - 4(-3) = -1

4 + 15 + 12 = -1

31 = -1

x - 2y + 5z = 3

2 - 2(5) + 5(-3) = 3

2 - 10 - 15 = 3

2 - 15 = 3

13 = 3

-4x + y + z = 16

-4(2) + 5 + -3 = 16

-8 + 5 - 3 = 16

-11 + 5 = 16

-6 = 16

(2, 5, -3) is not a solution.

2x + 3y - 4z = -1

2(4) + 3(-7) - 4(-3) = -1

8 - 21 + 12 = -1

-21 + 20 = -1

-1 = -1

x - 2y + 5z = 3

4 - 2(-7) + 5(-3) = 3

4 + 14 - 15 = 3

18 - 15 = 3

3 = 3

-4x + y + z = 16

-4(4) - 7 - 3 = 16

-16 - 7 - 3 = 16

-26 = 16

(4, -7, -3) is not a solution.

step- i d k and i d c : )

you: : 0

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9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841