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Determine If The Ordered Pair Is A Solution To The System Of Equations. -10x-4y=-52 -X-4y=-16

User Aean
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The question is asking us to decide if the ordered pair (4,2) is a solution to the following system of equations:

1) -10x - 4y = -52

2) -x - 4y = -16

We have an ordered pair (4, 2), where the first number refers to the x-coordinate and the second number to the y-coordinate.

For this problem, we will substitute these coordinates (x=4, y=2) into each of our system equations to determine if they are true statements.

Let's start with the first equation:

Substitute x=4, y=2 into -10x - 4y = -52:

When we do that we get -40 - 8, which equals -48. So, this does not satisfy the equation -10x - 4y = -52 because -48 is not equal to -52. Therefore, the ordered pair is not a solution for the first equation.

Let's try to see with the second equation:

Substitute x=4, y=2 into -x - 4y = -16:

When we substitute in those values we will get -4 - 8 = -12. This does not satisfy the equation -x - 4y = -16 because -12 is not equal to -16. Therefore, the ordered pair is not a solution for the second equation as well.

In conclusion, the ordered pair (4,2) is not a solution to the system of equations because it does not satisfy both equations.

User Octobus
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