Solve each of the following systems of equations using matrix method.
x - y = 3;
2x + 3y + 4z = 17;
y + 2z = 7.
To find: - x , y , z
Given set of lines are : -
x - y = 3
2x + 3y + 4z = 17
y + 2z = 7
Converting the following equations in matrix form,
AX = B
R2 – 2R1
2R3 - R2
Again converting into equations we get
X – y = 3
5y + 4z = 11
- 3y = 3
Y = - 1
5× - 1 + 4z = 11
4z = 16
Z = 4
X + 1 = 3
X = 2
∴ x = 2 , y = - 1 , z = 4