Question

2x+4y +2z=12
5x - 2y +6z =07
3x + 3y -4z=05
​

Answer 1

Step-by-step explanation:

To solve the system by Cramer's rule, we do the following steps:

1. Write the system as a matrix equation AX=b where:

A=⎣⎢⎢⎡3241−4113−3⎦⎥⎥⎤

X=⎣⎢⎢⎡xyz⎦⎥⎥⎤

b=⎣⎢⎢⎡2−1−11⎦⎥⎥⎤

2. Next, we find the following determinants:

Δ=∣∣∣∣∣∣∣∣3241−4113−3∣∣∣∣∣∣∣∣=∣A∣=63

Δ1=∣∣∣∣∣∣∣∣2−1−111−41