Question 369937
{{{(3/5)x+(1/12)y=24}}}
Multiply by {{{60}}}.
1.{{{36x+5y=1440}}}
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.
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{{{(1/9)x-(2/9)y=13}}}
Multiply by {{{9}}}
2.{{{x-2y=117}}}
Multiply eq. 1 by 2 and eq. 2 by 5 and add them together.
{{{72x+10y+5x-10y=2880+585}}}
{{{77x=3465}}}
{{{highlight(x=45)}}}
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.
Then from eq. 2,
{{{45-2y=117}}}
{{{-2y=72}}}
{{{highlight(y=-36)}}}