Question 262796
we have the following equations:
(i) {{{4x + 5y = -6}}}
(ii) {{{2x - (10/3)y = -4}}}
step 1 - multiply (ii) by 3 to get
(iii) {{{6x - 10y = -12}}}
step 2 - multiply (i) by 2 to get
(iv) {{{8x + 10y = -12}}}
Notice that now, adding down with (iii) and (iv) we have y's drop out.
step 3 - add (iii) and (iv) together to get
(v) {{{14x = -24}}}
divide and we get
 {{{x = -24/14}}}
when reduced gives us
{{{x = -12/7}}}
now solve for y and we get
{{{y = 6/35}}}