SOLUTION: find the solution set for the system of equations
x-y+z=2
x+y+3z=6
3x-y+5z=10
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Question 386509: find the solution set for the system of equations
x-y+z=2
x+y+3z=6
3x-y+5z=10
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The determinant of the system is zero.
There are an infinite number of solutions.
One of the equations is a linear combination of the other two.
.
.
.
1.
2.
3.
From eq. 1 and eq. 2,
4.
From eq. 1 and eq. 3,
5.
So then
Plug that into eq. 1,
So the solution set is (,,)
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