wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Find the solution for the following pair of equations
2x+y=8
3x2y=5

A
(2,4)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
(3,2)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
(1,1)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
(1,10)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B (3,2)
Given pair of equations
2x+y=8 (i)
and 3x2y=5 (ii)

Step 1: Find the value of x
Multiplying both the sides by 2 in equation (i), we get
4x+2y=16
Now, 2×(i)+(ii)
4x+2y+3x2y=16+57x=21
Dividing both the sides by 7, we get
x=217x=3

Step 2: Find the value of y
Putting x=3 in (ii), we get
Equation (ii)3(x)2y=5
3×32y=595=2y
2y=4
Dividing both the sides by 2, we get
y=2
x=3,y=2
Required solution for the given equations is (3,2).

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Solutions of Simultaneous Linear Equations: Elimination Method
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon