SOLUTION: The following system of equations is not linear. If you substitute u for 1/x and v for 1/y, for example, you can rewrite the system in linear form. Solve for u and v, then determin

Algebra ->  Test -> SOLUTION: The following system of equations is not linear. If you substitute u for 1/x and v for 1/y, for example, you can rewrite the system in linear form. Solve for u and v, then determin      Log On


   

Question 367116: The following system of equations is not linear. If you substitute u for 1/x and v for 1/y, for example, you can rewrite the system in linear form. Solve for u and v, then determine the values of x and y.
3/x+1/y=10
2/x-3/y=25
u=
v=
x=
y=
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.3u%2Bv=10
2.2u-3v=25
Multiply eq. 1 by 3 and add to eq. 2,
9u%2B3v%2B2u-3v=30%2B25
11u=55
u=5
.
.
Then from eq. 1,
15%2Bv=10
v=-5
.
.
.
u=1%2Fx=5
highlight%28x=1%2F5%29
.
.
v=1%2Fy=-5
highlight%28y=-1%2F5%29