Solve the equations:
x+y=5,
2/x+3/y=2.
.
.
.
ANSWER = {(5/2,5/2),(2,3)}

Question

Solve the equations:
x+y=5,
2/x+3/y=2.
.
.
.
ANSWER = {(5/2,5/2),(2,3)}

anonymous · Answer

$$x+y=5 and \frac{ 2 }{ x }+\frac{ 3 }{y }=2$$

anonymous · Answer

answer$$[(\frac{ 5 }{2 },\frac{ 5 }{ 2 }),(2,3)]$$

tyteen4a03 · Answer

The answers are correct. What are you trying to ask?

anonymous · Answer

how to solve this

anonymous · Answer

2/x +3/y = 2
Take L.C.M and you get,
(2y+3x)/xy = 2
2y+3x = 2xy
2y+2x+x = 2xy
2(x+y)+x = 2xy
2(5)+x = 2xy
10+x = 2xy
10 = 2xy-x
10 = x(2y-1) -> (1)
Now, x+y = 5
x = 5-y
Substitute this expression in (1), you get
10 = (5-y)(2y-1)
10 = 11y-2y^2-5
Rearranging the terms, we get
2y^2-11y+15 = 0

anonymous · Answer

Now its a quadratic equation..Can you solve it for roots?

anonymous · Answer

yup

anonymous · Answer

:)

anonymous · Answer

i did'nt understand this step 
10 = 2xy-x 
10 = x(2y-1) -> (1)

anonymous · Answer

I took out x as the common term from the right side terms...

anonymous · Answer

ok

anonymous · Answer

Are you sure that you got it?

anonymous · Answer

yeah i am solving quadratic right now

anonymous · Answer

ok got it the answer is {(5/2,5/2),(2,3)}

anonymous · Answer

i solved it further after quadratic putting the values of y in x=5-y