WOLFRAM|DEMONSTRATIONS PROJECT

Systems of Two Linear Equations with One Parameter

​
example 1
example 2
a
1
b
1
order system
matrix of coefficients A
det(A)=0
solution of det(A) = 0
case 1
condition
system
solution
case 2
condition
system
solution
case 3
condition
solution
Solve the system of linear equations
kx+(k+1)yk
(k+1)y+xk

k
k+1
1
k+1

2
k
-10
k-1∨k1
case 1. k-1
-x-1
x-1
False
case 2. k1
x+2y1
x+2y1
x1-2y
case 3. k≠-1∧k≠1
x0
y
k
k+1
This Demonstration analyzes two sets of systems of two linear equations in the variables
x
and
y
with parameter
k
. The equations are produced using the values of
a
and
b.