Question 179028
multiply the first one by 2 and the second one by 3. then subtract them
{{{3x + 2y = -3}}}
mult by 2 gives
{{{6x + 4y = -6}}}

{{{2x - 5y = 17}}}
mult by 3
{{{6x - 15y = 51}}}

Now subtract one from the other
{{{6x + 4y = -6}}}
{{{6x - 15y = 51}}}
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{{{19y = -57}}}
{{{y = -3}}}


Find x using the first equation and y=-3
{{{3x + 2(-3) = -3}}}
{{{3x -6 = -3 }}}
{{{3x = 3}}}
x=1

Now use both x = 1 and y = -3 in the second to verify
Does {{{2(1) -5(-3) = 17}}}???
{{{2 + 15 = 17}}} so that works