Question

How do you determine whether a linear system has one solution, many solutions, or no solution when given x-2y=2 and 2x-y= -5?

Answer 1

`{ (x-2y=2),(2x-y=-5):}` has one solution

Explanation:

A pair of linear equations with different slopes have a single solution (they represent lines that cross in exactly one point)

`x-2y=2` has a slope of `1/2`

`2x-y=-5` has a slope of `2`