Question

2x-y+z=1 , x + 2y+3z=8, 3x+y-4=1 solve the linear Equation by cramers rule

Answer 1

Answer:

Given linear equations are 3x+2y=1,2x−3y=5

Using Cramers rule, find the determinant of the coefficient

matrix,

D=∣∣∣∣∣∣322−3∣∣∣∣∣∣=3×−3−(2×2) $= -9 - 4$$ =−13

Secondly, find the determinant of x coefficient matrix,

Dx=∣∣∣∣∣∣152−3∣∣∣∣∣∣=1×−3−(5×2) =−3−10=−13

Similarly, find the determinant of y coefficient matrix,

Dy=∣∣∣∣∣∣3215∣∣∣∣∣∣=3×5−(2×1) =15−2=13

Applying Cramer's rule, 

x=DDx

∴