Question
Asked Dec 19, 2019
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Use Cramer’s rule to solve the system.

13x-2y=11

5x+3y=6

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Expert Answer

Step 1

Find the determinant of the matrix formed by the coefficients of x and y. 

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13х-2y%3D11 5x+3y=6 13 -2 D=53=13(3)-(-2)(5)=39+10=49

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Step 2

Find D_x 

Replace the column of coefficient of x by the column of constants and find determinant of the matrix.

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11 -2 D,=|3-11(3)-(-2)(6)=33+12=45 6 3

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Step 3

Find D_y 

Replace the column of coefficient of y by the col...

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13 11 D,=|0 =13(6)-11(5)=78-55=23 5 6

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