Which of the following ordered pairs represents the solution to the system given below? x − 4y = 7 5x + 9y = 6

The solution to the system would be (3, -1)

Step-by-step explanation:

You can find the solution to this system by using the elimination method. To do that, start by multiplying the top equation by -5 and then adding it through.

-5x + 20y = -35

5x + 9y = 6

29y = -29

y = -1

Now that we have the value of y, we can plug it into either equation and find the x value.

x - 4y = 7

x - 4(-1) = 7

x + 4 = 7

x = 3

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