Question 962218
{{{5x - 4y= -3}}}
{{{2x + 7y= 5}}} 

solutions:
{{{x = -1/43}}},  {{{ y = 31/43}}}

recall: Linear equations will {{{only}}} give the same solutions all the time if the equations can be {{{rearranged}}} to {{{equal}}}{{{ each}}}{{{ other}}}.

1.
so, you can do it if you multiply all terms in both equations by {{{2}}}

{{{10x - 8y= -6}}}
{{{4x + 14y= 10}}}

solutions:
{{{x = -1/43}}},  {{{ y = 31/43}}}

2.

or, you can do it if you divide all terms in both equations by {{{2}}}

{{{(5/2)x - 2y= -3/2}}}
{{{x + (7/2)y= 5 /2}}}

solutions:
{{{x = -1/43}}},  {{{ y = 31/43}}}


3.
or, you can do it if you multiply all terms in both equations by {{{-1}}}


{{{-5x +4y= 3}}}
{{{-2x - 7y= -5 }}}


solutions:
{{{x = -1/43}}},  {{{ y = 31/43}}}