Which ordered pair (a, b) is a solution to the given system of linear equations? mc010-1.j pg (1, 7) (3, 1) (11, –23) (23, –11)
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Answer:
(11,-23)
Step-by-step explanation:
3a+b=10 equation 1
-4a-2b=2 equation 2
using equation 1 we have
b = 10-3a equation 3
using equation 2 we have
-4a-2(10-3a)=2
-4a-20+6a=2
2a-20=2
2a=22
a=22/2
a=11
so using equation 3
we have
b = 10-3(11)= 10-33
b=-23
finally the answer is
(11,-23)