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Find the solution to the system of linear equations.

2x – 4y = -10
-2x – y = 0
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User Laizer
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1 Answer

8 votes

Answer:

x = -1 y = 2

Explanation:

Notice that the coefficients of x are opposites of each other. That makes the problem so much easier to solve. All you have to do is add the two equations and the x terms will be eliminated.

2x - 4y = -10

-2x - y = 0

- 5y = -10

y = 2 Substitute y = 2 into the first equation. 2x - 4(2) = -10

2x - 8 = -10

2x = -2

x = -1

It is always a good idea to check your results into the equations to see if they satisfy the equations.

User Guillaume Roux
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5.3k points