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

2 x + y = 5
3x + 2y = 8
The given pair of linear equations is
2x + y = 5
3x + 2y = 8
⇒ 2x + y - 5 = 0
3x + 2y - 8 = 0
Here,    a₁ = 2, b₁ = 1, c, = -5
a₂ = 3, b₂ = 2, c₂ = -8
We see that,

Hence, the given pair of linear equations has a unique solution.
To solve the given equation by cross multiplication method, we draw the diagram below :


Hence, the required solution of the given pair of linear equation is x = 2, y = 1.