Question 638620
{{{3a=5-b}}}.......1
{{{3a=2-b}}}.......2
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{{{3a+b=5}}}.......1
{{{3a+b=2}}}.......2
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{{{3a=5-b}}}.......1...solve for {{{b}}}

{{{b=5-3a}}}......plug in 2

{{{3a=2-(5-3a)}}}.......2

{{{3a=2-5+3a}}}

{{{3a-3a=-3}}}

{{{0=-3}}}..Since this expression is not true, we have an inconsistency

So there are no solutions. The simple reason is the 2 equations represent 2 parallel lines that will never intersect. Since no intersections occur, no solutions exist.

{{{ graph( 600, 600, -10, 10, -10, 10, 5-3x, 2-3x) }}}