Question

2/x+3/y=1/5
4/x+9/y=1/2
solve it in crossmultiplication method first answer will get brainliest.​

Answer 1

Answer:

X=20,Y=30

Step-by-step explanation:

2/x+3/y=1/5,4/x+9/y=1/2

10 /x+15/y-1=0

8/x+18/y-1=0

Put 1/x=u,1/y=v

10u+15v-1=0—(I)

8u+18v-1=0—(II)

By cross multiplication :-

2       3       1          2

15     -1     10          15

18     -1      8          18

U  /                      V  /                    1/

15(-1) -18(-1)   -1(8)-(-1)(10)      10(18)-8(15)

U /          V/         1/

3           2           60

Now u/3=1/60

U=3/60

U =1/20=>20

Now v/2=1/60

2/60

V=1/30

V=30

Therefore, 1/x=20

X=20

And 1/y=30

Y=30

Hope this answer will clear ur doubts.

Answer 2

Answer:

X=30, Y=0.

Step-by-step explanation:

Let 1/X=u and 1/y=v,then-

2u+3v=1/5. ----(1)

And, 4u+9v=1/2. ----(2)

Then, 2u=1/5-3v

u=1-15v/10.

Putting this'u' value in equation (2)----

4(1-15v/10)+9v=1/2

4-60v/10 +9v=1/2

4-60v+90v=10/2.

4+30v=5.

30v=5-4.

30v=1.

Then, v=1/30.

Putting the value'v' in equation (1)----_

u=1-15v/10

u=(1-15×1/30)/10

u=(1-1/2)/10

u= 1-1/20

u= 0.