Determine if each ordered pair is a solution to the given sy
Determine if each ordered pair is a solution to the given system.
4x-y=1
x+2y=5
a. (1,3)?? b. (-1.-5)??
---------------------------------------------------
4x+y=-18
2x+4y=-30
(-3,6) ?????
Solution
4x-y=1
 x+2y=5
Plug in 1,3 :
 4(1) - 3 = 1
 1= 1 --> works
1 + 2(3) = 5
 1 + 6 = 5
 7 = 5 --> false
So, (1,3) doesnt work
---------------------------------------------------------
(-1,-5) :
 4(-1) - (-5) = 1
 -4 + 5 = 1
 1=1 ---> works
x + 2y = 5
 -1 + 2(-5) = 5
 -1 - 10 = 5
 -11 = 5
 false
So (-1,-5) also doesnt work
------------------------------------------------------------
4x + y = -18
 2x + 4y = -30
(-3,6) :
 4(-3) + 6 = -18
 -12 + 6 = -18
 -6 = -18
 Does not work
So, this aint a solution either
The actual solution is (-3 , -6)

