Solve the simultaneous Linear equations using matrix inverse Method. 8x+3y=2 6x+2y=4

Tyra 2021-03-02 Answered
Solve the simultaneous Linear equations using matrix inverse Method.
8x+3y=2
6x+2y=4
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Expert Answer

davonliefI
Answered 2021-03-03 Author has 79 answers

Step 1
To solve simultaneous linear equations, we have to find to form the equations into three matrices.
8x+3y=2
6x+2y=4
These can be shown in matrix form as,
[8362][xy]=[24]
Step 2
So if Ax=B , where A,x and B are matrices.
Then we can multiply it with A1 to find x
A1Ax=A1Bx=A1B
So find A1,A=[8362],x=[xy],B=[24]
[83|1062|01]R1R18,  R2R26R1 ,

Applying these row operations we get,
[138|180014|341]  R24R2,  R1R138R2
[10|13201|34], So A1=[13234]
Step 3
A1AX=A1Bx=A1B
[xy]=[13234][24]
[xy]=[2+32×46+4×4]=[2+6616]=[410]

x=5 , y=-10
Step 4
So the answers are x = 4 and y = -10

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Jeffrey Jordon
Answered 2022-01-27 Author has 2313 answers

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