Question 1057709
 -kx + y = 3
4x - y = 2
What value of k will make the system consistent? 
:
Use elimination
-kx + y = 3
+4x - y = 2
---------------Addition eliminate y
4x - kx = 5
Factor out x
x(4-k) = 5
divide both sides by (4-k)
x = {{{5/((4-k))}}}
make k = -1
x = {{{5/((4-(-1)))}}}
x = {{{5/((4+1))}}}
x = {{{5/5}}}
x = 1
find y
4(1) - y = 2
-y = 2 - 4
-y = -2
therefore
y = 2
:
Solution pair: 1,2, consistent when k=-1