Question 907249
{{{(1/3)x + (1/5)y = 7}}}
{{{(1/6)x - (2/5)y = -4}}}
Multiply the first equation by 2 and add to the second.
{{{(2/3)x+(2/5)y+(1/6)x-(2/5)y=14-4}}}
{{{(2/3+1/6)x=10}}}
{{{(4/6+1/6)x=10}}}
{{{(5/6)x=10}}}
{{{x=10(6/5)}}}
{{{x=12}}}
Then use either equation to solve for {{{y}}}.
{{{(1/3)(12)+(1/5)y=7}}}
{{{4+(1/5)y=7}}}
{{{(1/5)y=3}}}
{{{y=15}}}