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5/3x−2y=−2 −x+y=2
What is the solution of the system of equations?

User Mixable
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1 Answer

5 votes

Answer:

(x, y) = (-6, -4)

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).

5/3x−2y=−2 −x+y=2 What is the solution of the system of equations?-example-1