Question #b310b

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Question #b310b

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Answer 1 · 2016-10-09T07:11:17

$(x, y) = (x, x - 90)$ $(x, y) = (x, x-90)$

Explanation:

Given two variables, at least two equations are needed to determine two unique values for those variables. With only a single equation, we are showing a relationship between the two variables which may be fulfilled by many $(x, y)$ $(x, y)$ pairs.

In the given example, we have $x - y = 90$ $x-y = 90$

$\Rightarrow x - y + y - 90 = 90 + y - 90$ $=> x - y + y - 90 = 90 + y - 90$

$\Rightarrow y = x - 90$ $=> y = x - 90$

Thus, for any $x$ $x$ value, we can find a corresponding $y$ $y$ value which fulfills $x - y = 90$ $x-y=90$ by setting $y = x - 90$ $y=x-90$ . If we graph this, we get a line, every point of which is an $(x, y)$ $(x, y)$ pair satisfying our equation:

graph{x-90 [-275, 333, -168, 136]}

Example $(x, y)$ $(x,y)$ pairs:
$(- 10, - 100)$ $(-10, -100)$
$(0, - 90)$ $(0, -90)$
$(1, - 89)$ $(1, -89)$
$(10, - 80)$ $(10, -80)$
$(90, 0)$ $(90, 0)$
$(100, 10)$ $(100, 10)$

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Question #b310b

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