Question 617106
{{{ 7x - 5y = 2*( x + 1 ) }}}
{{{ 7x - 5y = 2x + 2 }}}
Subtract {{{ 2x }}} from both sides
{{{ 7x - 2x -5y = 2 }}}
Add {{{ 5y }}} to both sides
{{{ 7x - 2x = 2 + 5y }}}
{{{ 5x = 2 + 5y }}}
{{{ x = 2/5 + y }}}
--------------
You can check by plugging
the answer back into the equation
{{{ 7x - 5y = 2*( x + 1 ) }}}
{{{ 7*( 2/5 + y ) - 5y = 2*(  2/5 + y + 1 ) }}}
{{{ 14/5 + 7y - 5y = 4/5 + 2y + 2 }}}
{{{ 14/5 + 2y = 10/5 + 4/5 + 2y }}}
Subtract {{{ 2y }}} from both sides
{{{ 14/5 = 14/5 }}}
OK