Question 116333
{{{3 /2x -5/3y+ 1/6z = 0 }}}……………

Solve for {{{y}}} when {{{x=4}}} and {{{z=3}}}

{{{3 /2x -5/3y+ 1/6z = 0 }}}……………move {{{-5/3y}}} to the right

{{{3 /2x + 1/6z = 5/3y }}}……………
plug in {{{x=4}}} and {{{z=3}}}

{{{3/(2*4) + 1/(6*3) = 5/3y  }}}……………


{{{3/8 + 1/18 = 5/3y }}}…………… 

{{{0.375 + 0.056 = 5/3y }}}…………… 

{{{0.431= 5/3y }}}…………… 

{{{0.431*3y = 5 }}}…………… 

{{{3y = 5/.431}}}…………… 

{{{3y = 11.6}}}

{{{y = 11.6/3}}}

{{{y = 3.867 }}}

{{{y = 3.9 }}}

Check:


{{{3 /2x -5/3y+ 1/6z = 0 }}}……………

{{{3/(2*4)-5/(3*3.9) + 1/(6*3) = 0}}}……………

{{{3 /8 -5/11.7+ 1/18 = 0 }}}……………

{{{0.375  -(0.427)+ 0.056 = 0 }}}……………

{{{0.43  -(0.43  ) = 0 }}}……………

{{{0=0 }}}