5/3x−2y=−2 −x+y=2 What is the solution of the system of equations?
1 answer:
Answer:
(x, y) = (-6, -4)
Step-by-step explanation:
The solution can be found quickly using a graphing calculator. It is the point of intersection of the two lines.
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If you like, you can solve the system algebraically. The second equation can be rewritten to give ...
y = x +2
Substituting this into the first equation gives ...
5/3x -2(x +2) = -2
-1/3x -4 = -2
Adding 4 and multiplying by -3 gives ...
x = -3(-2+4) = -6
Then our equation for y tells us ...
y = -6 +2 = -4
The solution is (x, y) = (-6, -4).
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