Can someone show me step by step for this system of equations? (number 5)

x = 3, y = -1, z = -4

Step-by-step explanation:

2x + y - z = 9 (1)

- x + 6y + 2z = -17 (2)

5x + 7y + z = 4 (3)

(3) + (1)

7x + 8y = 13 (4)

2 × (1)

4x + 2y - 2z = 18 (5)

(5) + (2)

3x + 8y = 1 (6)

(4) - (6)

4x =12

x = 3

substitute x = 3 in (6)

9 + 8y = 1

8y = -8

y = -1

substitute x = 3 and y = -1 in (1)

2 × 3 + (-1) - z = 9

6 - 1 - z = 9

5 - z = 9

z = 5 - 9

z = -4

0.85% : )

step-by-step explanation:

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west