apply cramers rule to solve
5x – 2y = 1; 2x - y = 0
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Answer:
Step-by-step explanation:
Given linear equations are 3x+2y=1,2x−3y=5
Using Cramers rule, find the determinant of the coefficient
matrix,
D=
∣
∣
∣
∣
∣
∣
3
2
2
−3
∣
∣
∣
∣
∣
∣
=3×−3−(2×2) $= -9 - 4$$ =−13
Secondly, find the determinant of x coefficient matrix,
D
x
=
∣
∣
∣
∣
∣
∣
1
5
2
−3
∣
∣
∣
∣
∣
∣
=1×−3−(5×2) =−3−10=−13
Similarly, find the determinant of y coefficient matrix,
D
y
=
∣
∣
∣
∣
∣
∣
3
2
1
5
∣
∣
∣
∣
∣
∣
=3×5−(2×1) =15−2=13
Applying Cramer's rule,
x=
D
D
x
∴x=
−13
−13
=1
y=
D
D
y
∴y=
−13
13
=−1
Therefore, x=1,y=−1
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