Question 113239


{{{3x + y = 2}}} and 
{{{2x – y = 3}}}
------------------------  we can solve this system by substitution or by addition

Let do it by substitution:

the first equation, we can solve in terms of {{{y}}}

{{{3x + y = 2}}}………move {{{3x}}}to the right

{{{ y = - 3x + 2}}}

Now, substitute {{{y}}} in second equation

{{{2x – y = 3}}}

{{{2x – (- 3x + 2) = 3}}}
{{{2x + 3x – 2 = 3}}}…….move {{{-2}}} to the right


{{{ 5x  = 3 + 2}}}…….

{{{ 5x  = 5}}}…….

{{{ x  = 1}}}…….

Now, find {{{y}}}

{{{ y = - 3x + 2}}}

{{{ y = - 3*1 + 2}}}

{{{ y = - 3 + 2}}}

{{{ y = - 1 }}}