Question 79930: Complete the ordered-triple solutions for each equation.
2x+y+z=2 (, -1, 3)
Answer by markburke(3)   (Show Source):
You can put this solution on YOUR website! 2x+y+z=2 (, -1, 3)
An ordered-triple is an example of a coordinated point, or very values which have some relationship to each other. In the case of an ordered "pair", the assumption for ( 0,1) is that it represents (x,y) values. You can then assume that the "ordered pair" represents a point solution to an equation. That is, a set of x y values which make the equation true. Same with an ordered triple, with the addition of x y and then z. so (, -1, 3) represents an almost complete point of (x,y,z). y and z are known, but x is not. So I think we should plug in the values -1 for y and 3 for z, into the equation 2x + y + z = 2, and this leaves ( 2x + (-1) + 3 = 2 ), and that equation has only x as an unknown.
So let's solve this equation of one unkown x, for x, and get the answer. Then let's post the "ordered triple" in the form (x,y,z) = ( {our solved x value},-1,3)
2x - 1 + 3 = 2, from above
2x + 2 = 2
2x = 0
x = 0
so x = 0, and the ordered triple is expressed as
( 0 , -1 , 3)
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