Question #b0bac

1 Answer
Alan P.
Feb 12, 2017

#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# in terms of #X#:

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

#color(white)("XXX")rarr 2Y=-3X-8#

#color(white)("XXX")rarr Y = -3/2X-4#

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

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