Question 1101918
12x+5y=2 (eq. 1)
-2x+3y=5 (eq. 2)
Eq 2 x6
12x+5y=2
-12x+18y=20
eq. 2+eq.1
5y+18y=20+2
23y=22
y={{{ 22/23 }}}
Sub y into eq. 1 (or eq. 2, but I'm using eq. 1)
12x+5({{{ 22/23 }}})=2
12x+{{{ 110/23 }}}=2
12x=2-{{{ 110/23 }}}
12x={{{ -(64/23) }}}
x={{{ -(16/69) }}}
x= {{{ -(16/69) }}}, y={{{ 22/23 }}}