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Linear equation camera's RULE 4x¹-3x²=7, 5x¹+3x²=_8 |
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Answer» Answer: Given LINEAR equations are 3x+2y=1,2x−3y=5 Using Cramers rule, FIND the determinant of the coefficient D= ∣ ∣ ∣ ∣ ∣ ∣
3 2
2 −3
∣ ∣ ∣ ∣ ∣ ∣
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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