Use Cramer’s Rule to solve the system of linear equations.20x+8y=1112x-24y=21

Tabansi 2021-02-04 Answered

Use Cramer’s Rule to solve the system of linear equations.
{20x+8y=1112x24y=21

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Expert Answer

delilnaT
Answered 2021-02-05 Author has 94 answers

Step 1
Given system of equations is
{20x+8y=1112x24y=21
Firstly, we evaluate the value of determinant of coefficient matrix
D=|2081224|=20(24)12(8)=576
Since, the value of determinant of coefficient matrix is non-zero,
So, given system of equation is consistent.
Step 2
Now, we consider the following determinants.
D1=|1182124|=11(24)21(8)=432
D2=|20111221|=20(21)12(11)=288
Solution of given system of equations is
x=D1D,y=D2D
x=432576,y=288576
x=34,y=12
Step 3
Result:
x=43.y=12

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