Question 909836
{{{(1/2)t - (1/5)v = 5/2}}}
Multiply both sides by {{{10}}}
1,{{{5t-2v=25}}}
.
.
.
{{{(2/3)t + (1/4)v = 7/12}}}
Multiply both sides by {{{12}}}
2.{{{8t+3v=7}}}
Now multiply the first equation by 3 and the second by 2 and add them together to eliminate {{{v}}}.
{{{15t-6v+16t+6v=75+14}}}
{{{31t=89}}}
{{{highlight(t=89/31)}}}
Then use either equation to solve for {{{v}}}.
{{{5(89/31)-2v=25}}}
{{{445/31-2v=778/31}}}
{{{-2v=(778-445)/31}}}
{{{-2v=330/31}}}
{{{highlight(v=-(165/31))}}}