Cuál de los siguientes pares ordenados es solución de 2x-3y+1=0? A] (5/3, 2) B] (1,-1) C] (2, -5/3) D] (1,1)?
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Try them. [D] works: 2(1) -3(1) +1 = 2 -3 +1 = 0.
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For a question of this sort, an ordered pair is (x-value, y-value). A solution is a pair (x, y) that "satisfies" the equation, That is, the solution values make the equation be true. If the equation is not true, the ordered pair is not a solution. For example, pair [B] gives
.. 2(1) -3(-1) +1 = 0
.. 2 +3 +1 = 0
.. 6 = 0 . . . FALSE. (1, -1) is NOT A SOLUTION to the equation.