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Solve the system.
0.2x + 0.5y = 4
-0.1x + 0.3y = -2

User BobbyP
by
4.2k points

1 Answer

4 votes

Answer:

The system solution is (20, 0)

Explanation:

Let's begin by eliminating x. Multiply the second equation by 2, obtaining

-0.2x + 0.6y = -4, and add this result to the first equation:

0.2x + 0.5y = 4

-0.2x + 0.6y = -4

------------------------

1.1y = 0, so y must be 0.

Substituting 0 for y in the first equation, we get:

0.2x + 0 = 4. Dividing both sides by 0.2, we get x = 20.

The system solution is (20, 0).

User Jasonslyvia
by
3.6k points