Question 888521
You can solve for {{{ x }}} or you can solve for {{{ y }}}
I think you want to solve for {{{ y }}}
{{{ 6x + 5y = 2 }}}
First subtract {{{ 6x }}} from both sides
{{{ 6x + 5y = 2 }}}
{{{ -6x = -6x }}}
---------------
{{{ 5y = -6x + 2 }}}
Now divide both sides by {{{ 5 }}}
{{{ ( 5/5 )*y = ( -6/5 )*x + 2/5 }}}
{{{ y = (-6/5 )*x + 2/5 }}}
------------------------
What I just did was go from the "standard form"
of this linear equation to the " slope-intercept "
form.
-------------------------
In the slope intercept-form, {{{ -6/5 }}} is the slope
and {{{ 2/5 }}} is the y-intercept