Question

Solve the following system of equations x − y + z = 4, x − 2y + 2z = 9 and 2x + y + 3z = 1.

पर्याय

• x = −4, y = −3, z = 2

• x = −1, y = −3, z = 2

• x = 2, y = 4, z = 6

• x = 3, y = 6, z = 9

Answer 1

x = −1, y = −3, z = 2

Explanation:

We are given the system of equations:

x − y + z = 4

x − 2y + 2z = 9

2x + y + 3z = 1

Substitute into equation 1: 

x − y + z = −1 − (−3) + 2 = −1 + 3 + 2 = 4

Substitute into equation 2:

x − 2y + 2z = −1 − 2(−3) + 2(2) = −1 + 6 + 4 = 9

Substitute into equation 3:

2x + y + 3z = 2(−1) + (−3) + 3(2) = −2 − 3 + 6 = 1

So, correct option is option 2.