Question

3x-y=8. 2x =1 solve using Cramer's rule​

Answer 1

Hey mate ❤,

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=D/Dx

∴∴x=−13−13=1

y=D/Dy

∴y=−1313=−1

Therefore, x=1,y=−1

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