CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

Question 3 (i)
On comparing the ratios a1a2, b1b2 and c1c2 find out whether the following pair of linear equations are consistent, or inconsistent.
 3x + 2y = 5 ; 2x - 3y = 7


Solution

3x + 2y = 5 ; 2x - 3y = 7
3x + 2y - 5 = 0 ; 2x - 3y - 7 = 0
Comparing these equations with
a1x+b1y+c1=0
a2x+b2y+c2=0
We get
a1=3,b1=2, and c1=5
a2=2,b2=3 and c2=7
a1a2=32
b1b2=23 and
c1c2=57
Hence, a1a2b1b2
These linear equations are intersecting each other at one point and thus have only one possible solution. Hence, the pair of linear equations are consistent.

flag
 Suggest corrections
thumbs-up
 
0 Upvotes


Similar questions
View More


People also searched for
View More



footer-image