Description
Write an example of a system of three equations in three variables that has
(-3, 5, 2) as a solution. Show that the ordered triple satisfies all three equations.
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Explanation & Answer
x + y - z = 0
2x - y + 3z = - 5
x + 2y - 3z = 1
check
eq.1 - 3 + 5 - 2 = 0
5 - 5 = 0 , true
eq.2 2( - 3) - 5 + 3(2) = - 5
- 6 - 5 + 6 = - 5
- 5 = - 5 , true
eq. 3 - 3 + 2( 5) - 3(2) = 1
- 3 + 10 - 6 = 1
- 9 + 10 = 1
1 = 1 , true
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