Use an inverse matrix to solve system of linear equations.x+2y=10x-2y=-6

sanuluy

sanuluy

Answered question

2021-02-25

Use an inverse matrix to solve system of linear equations.
x+2y=10
x2y=6

Answer & Explanation

SabadisO

SabadisO

Skilled2021-02-26Added 108 answers

Step 1
Given system of equations is
x+2y=10
x2y=6
AX=C
A=[1212],X=[xy],C=[106]
Step 2
The solution is given by
X=A1C
X=14[2211][106]
X=14[2012106][24]
x=2,y=4
Result:x=2,y=4

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