The pair of equations 2x + y = 5, 3x + 2y = 8 has
Given: 2x + y – 5 = 0 and 3x + 2y – 8 = 0
We know that the general form for a pair of linear equations in 2 variables x and y is a1x + b1y + c1 = 0
and a2x + b2y + c2 = 0.
Comparing with above equations,
we have a1 = 2, b1 = 1, c1 = - 5; a2 = 3, b2 = 2, c2 = - 8
Since
The lines are intersecting.
∴The pair of equations has a unique solution.