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)??
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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
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(-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
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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)
