Question #b0bac

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Question #b0bac

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Answer 1 · 2017-02-12T13:53:49

$Y = - (\frac{3}{2} X + 4)$ $Y=-(3/2X+4)$

Explanation:

A single equation with two unknowns will not have any unique solution.

We could however "solve" this to give an expression for $Y$ $Y$ in terms of $X$ $X$ :

$XXX 3 X + 2 Y = - 8$ $color(white)("XXX")3X+2Y=-8$

$XXX \to 2 Y = - 3 X - 8$ $color(white)("XXX")rarr 2Y=-3X-8$

$XXX \to Y = - \frac{3}{2} X - 4$ $color(white)("XXX")rarr Y = -3/2X-4$

Note that the graph of $2 X + 3 Y = - 8$ $2X+3Y=-8$ (below) is not a single point;
rather it is a line giving infinitely many solution pairs for $(X, Y)$ $(X,Y)$
$XXX \to Y = - (\frac{3}{2} X + 4)$ $color(white)("XXX")rarr Y= -(3/2X+4)$ graph{-(3/2x+4) [-5.67, 4.196, -4.36, 0.573]}

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Question #b0bac

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