Question 436053
It looks like you have 2 equations. A general rule about
equations is:
If you want to find the values of the unknowns,
the number of equations has to equal the number
of unknowns.
You have 2 equations and 2 unknowns, so you 
know you can solve for {{{x}}} and {{{y}}}. You just have to
decide what method to use.
Elimination means that you get the equations into a
form where you can add or subtract them and eliminate
one of the unknowns.
(1) {{{ x - 5y = 5}}}
(2) {{{2x + 10y = 6}}}
The easiest path here is to divide both sides of (2) by {{{2}}}
(2) {{{ x + 5y = 3}}}
Now you can just add (1) and (2)
(1) {{{ x - 5y = 5}}}
(2) {{{ x + 5y = 3}}}
{{{ 2x = 8 }}}
{{{ x = 4 }}}
Now put this result back into either (1) or (2)
(2) {{{ x + 5y = 3}}}
(2) {{{ 4 + 5y = 3}}}
Subtract {{{4}}} from both sides
(2) {{{ 5y = -1 }}}
{{{ y = -1/5 }}}
---------------
Just plug the answers back into (1) and (2) to check
(1) {{{ x - 5y = 5}}}
(1) {{{ 4 - 5*(-1/5) = 5}}}
{{{ 4 + 1 = 5 }}}
OK