Question 181450
(1) {{{4x - (7/2)y = -18}}}
(2) {{{(7/2)x - 3y = -(31/2)}}}
Multiply both sides of (2) by {{{8/7}}}
(2) {{{(8/7)(7/2)*x - (8/7)*3y = -(8/7)(31/2)}}}
(2) {{{4x - (24/7)y = -(124/7)}}}
Subtract (1) from (2)
(2) {{{4x - (24/7)y = -(124/7)}}}
(1) {{{-4x + (7/2)y = 126/7}}}
{{{(49/14 - 48/14)*y = 2/7}}}
{{{(1/14)*y = 2/7}}}
{{{y = 4}}}
Plug this back into (1)
(1) {{{4x - (7/2)y = -18}}}
(1) {{{4x - (7/2)*4 = -18}}}
{{{4x = -18 + 14}}}
{{{4x = -4}}}
{{{x = -1}}}
The solutions are {{{x = -1}}} and {{{y = 4}}}