wiz-icon
MyQuestionIcon
MyQuestionIcon
2
You visited us 2 times! Enjoying our articles? Unlock Full Access!
Question

If x+y=6 and 3xy=4, find the value of xy.

A
1
loader
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
0
loader
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
2
loader
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
4
loader
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 1
Given : x+y=6 and 3xy=4
x+y=6 ...(1)
3xy=4 ...(2)
Multiply equation (1) by 3 and (2) by 1
3(x+y)=18 and 1(3xy)=4
3x+3y=18 ..(a)
and 3xy=4..(b)
Subsituting (a) - (b)
y=72
and now the value of x is taken out by :
x+y=6
x+72=6
x=672
x=52
Now the value of x- y is:
xy=5272
xy=1
The value of x- y is 1



flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Equivalent Ratios
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon
footer-image