simlin (Function)
Command last updated 4/7/2022.
Download
simlin(a, b, c, d, e, f, g)
- a, b, c are numbers or expressions in terms of g, representing a line ax+by=c
- d, e, f are numbers or expressions in terms of g, representing a line dx+ey=f
- g is a variable name
Returns a list.
- 1st item is values of g for which the 2 lines intersect 0 times.
- 2nd item is values of g for which the 2 lines intersect 1 time.
- 3rd item is values of g for which the 2 lines intersect ∞ times.
Example
Find the largest set of values of \(k\) for which the simultaneous linear equations \(kx+5y=k+5\) and \(4x+(k+1)y=0\) have ∞ solutions for \((x, y)\). (2023 Methods Exam 2 Section A Question 4)
