SOLUTION: 3 over 2 x - 5 over 3y + 1 over 6 z =0 for y when x=4 and z =3

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: 3 over 2 x - 5 over 3y + 1 over 6 z =0 for y when x=4 and z =3      Log On


   

Question 116333This question is from textbook
: 3 over 2 x - 5 over 3y + 1 over 6 z =0 for y when x=4 and z =3 This question is from textbook

Found 2 solutions by ilana, MathLover1:
Answer by ilana(307) About Me  (Show Source):
You can put this solution on YOUR website!
I believe the equation you have is (3/2x)-(5/3y)+(1/6z)=0.
Now you have x=4 and z=3, which changes the equation to (3/2(4))-(5/3y)+(1/6(3))=0, or (3/8)-(5/3y)+(1/18)=0. Separating terms with y from constant terms gives (3/8)+(1/18)=5/3y.
72 is a common denominator on the left, so we could multiply 3/8 by 9/9 and multiply 1/18 by 4/4 to get (27/72)+(4/72)=5/3y. Combining gives 31/72=5/3y.
Cross multiplying gives 31*3y=5*72, so 93y=360, so y=360/93=120/31.

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
3+%2F2x+-5%2F3y%2B+1%2F6z+=+0+……………
Solve for y when x=4 and z=3
3+%2F2x+-5%2F3y%2B+1%2F6z+=+0+……………move -5%2F3y to the right
3+%2F2x+%2B+1%2F6z+=+5%2F3y+……………
plug in x=4 and z=3
3%2F%282%2A4%29+%2B+1%2F%286%2A3%29+=+5%2F3y++……………

3%2F8+%2B+1%2F18+=+5%2F3y+……………
0.375+%2B+0.056+=+5%2F3y+……………
0.431=+5%2F3y+……………
0.431%2A3y+=+5+……………
3y+=+5%2F.431……………
3y+=+11.6
y+=+11.6%2F3
y+=+3.867+
y+=+3.9+
Check:

3+%2F2x+-5%2F3y%2B+1%2F6z+=+0+……………
3%2F%282%2A4%29-5%2F%283%2A3.9%29+%2B+1%2F%286%2A3%29+=+0……………
3+%2F8+-5%2F11.7%2B+1%2F18+=+0+……………
0.375++-%280.427%29%2B+0.056+=+0+……………
0.43++-%280.43++%29+=+0+……………
0=0+