Question 561290
(1) {{{ 5x - 4y = 9 }}}
(2) {{{ -x + 2y = 3 }}}
Just leave (1) alone and multiply both sides of (2)
by {{{ 2 }}}
If you do the same thing to both sides, the equation is still true
(2) {{{ -2x + 4y = 6 }}} is the result
Now just add the equations
(1) {{{ 5x - 4y = 9 }}}
(2) {{{ -2x + 4y = 6 }}}
{{{ 3x = 15 }}}
{{{ x = 5 }}}
Plug this value back into (2)
(2) {{{ -5 + 2y = 3 }}}
(2) {{{ 2y = 3 + 5 }}}
(2) {{{ 2y = 8 }}}
(2) {{{ y = 4 }}}
The solution is (5,4)