Question

What is the solution to the following system?

x = 10, y = 2, z = 5
x = –4, y = 2, z = 5
x = 0, y = 2, z = 5
x = 4, y = 6, z = 5

Answer 1

X=0, Y=2, Z=5 (C on edge)

Explanation:

Edge 2021

Answer 2

From eqn 3,
2z = 10
z = 5

Substitute z = 5 into eqn 1&2
x + 2y + 5 = 9
x + 2y = 4

x - y + 3(5) = 13
x - y = -2

Eqn 1 - eqn 2:
x + 2y - (x - y) = 4 - (-2)
3y = 6
y = 2

Substitute y = 2 into eqn 1
x + 2(2) = 4
x = 0

Thus, x = 0, y = 2, z = 5 (option 3)