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Determine the equivalent system for the given system of equations.

4x - 5y = 2
3x - y = 8

1 Answer

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Answer:

4x − 5y = 2

13x − 8y = 26

Explanation:

The equivalent system must have the same solution as the given system of equations:

4x − 5y = 2

3x − y = 8

Here we have that:

y = 3x - 8

4x - 5y = 2

4x - 5(3x - 8) = 2

4x - 15x + 40 = 2

-11x = -38

Now, we have to verify which of these systems have this answer:

4x − 5y = 2

13x − 8y = 4

13x - 8y = 4

4x − 5y = 2

10x + 3y = 15

10x + 3y = 15

4x − 5y = 2

13x − 8y = 26

4x - 5y = 2

13x - 8y = 26

This is the correct answer

So this is the correct answer

4x − 5y = 2

7x + 6y = 10

User Jengelsma
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