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Question 1 (ii)
Which of the following pairs of linear equations has unique solution, no solution or infinitely many solutions? In case there is a unique solution, find it by using cross multiplication method.
2x + y = 5 ; 3x +2y =8

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Solution

2x + y = 5
3x +2y = 8
a1a2=23
b1b2=12
c1c2=58=58
a1a2b1b2
Therefore, they will intersect each other at a unique point and thus, there will be a unique solution for these equations. By cross-multiplication method,
xb1c2b2c1=yc1a2c2a1=1a1b2a2b1
x8(10)=y15+16=143
x2=1,y1=1
x=2,y=1

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