wiz-icon
MyQuestionIcon
MyQuestionIcon
28
You visited us 28 times! Enjoying our articles? Unlock Full Access!
Question

Solve the following pair of equations:

9x4y=8, 13x+7y=101

A
x=23;y=43
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
x=14;y=17
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
x=54;y=25
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
x=32;y=65
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B x=14;y=17
The equation 9x4y=8 can be solved as:

9x4y=8

9y4xxy=8

9y4x=8xy.........(1)

The equation 13x+7y=101 can be solved as:

13x+7y=101

13y+7xxy=101

13y+7x=101xy.........(2)

Multiply the equation 1 by 7 and equation 2 by 4. Then we get the equations:

63y28x=56xy.........(3)

52y+28x=404xy.........(4)

Add equations 3 and 4 to eliminate x, because the coefficients of x are the opposite. So, we get

(63y+52y)+(28x+28x)=56xy+404xy

i.e. 115y=460xy

i.e. 115=460x

i.e. x=115460=14

Substituting this value of x in the equation 1, we get

9y4(14)=8(14)y9y1=2y9y2y=17y=1y=17

Hence, the solution of the equations is x=14,y=17.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Solving Simultaneous Linear Equations by Graphical Method
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon