How do you find the ordered pairs for 3x - 2y = 6?

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How do you find the ordered pairs for 3x - 2y = 6?

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Answer 1 · 2017-11-22T12:13:57

$(x, y) = (2, 0), (0, - 3)$ $(x,y)=(2,0),(0,-3)$ and all the points that lie along the line

Explanation:

One way we can do this is to see that if we have $x = 2, y = 0$ $x=2, y=0$ , then we have:

$3 (2) - 2 (0) = 6$ $3(2)-2(0)=6$ , which means one ordered pair is $(2, 0)$ $(2,0)$

We can also have it where $x = 0, y = - 3$ $x=0, y=-3$ :

$3 (0) - 2 (- 3) = 6$ $3(0)-2(-3)=6$ , which means one ordered pair is $(0, - 3)$ $(0,-3)$

In fact, there are an infinite number of ordered pairs that lie along the line $3 x - 2 y = 6$ $3x-2y=6$ and the way to express them all is graphically:

graph{3x-2y-6=0}

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How do you find the ordered pairs for 3x - 2y = 6?

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