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3x+5=2y; 15-6y=(-9)xsolving this equation by Cramer's rule is the answer: x=-22 and y=1? |
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Answer» 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 Step-by-step explanation: |
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