Question 175936
(1) {{{(3/7)*x + (5/9)*y = 27}}}
(2) {{{(1/9)*x + (2/7)*y = 7}}}
Multiply both sides of (1) by {{{7/27}}}
(3) {{{(7/27)*(3/7)*x + (7/27)*(5/9)*y = (7/27)*27}}}
(3) {{{(1/9)*x + (35/243)*y = 7}}}
(2) {{{(1/9)*x + (2/7)*y = 7}}} subtract (2) from (3)
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(4) {{{(35/243)*y - (2/7)*y = 0}}}
{{{y = 0}}}
(2) {{{(1/9)*x + (2/7)*y = 7}}}
{{{(1/9)*x = 7}}}
{{{x = 63}}}
check:
(1) {{{(3/7)*x + (5/9)*y = 27}}}
{{{(3/7)*x = 27}}}
{{{x = 63}}}
(63,0) is the solution