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Mathematics 18 Online
OpenStudy (anonymous):

Solving Systems of Equations Approximately?

OpenStudy (igreen):

Question?

OpenStudy (anonymous):

yes

OpenStudy (igreen):

What's the question?

OpenStudy (solomonzelman):

why not exactly ?

OpenStudy (anonymous):

the question what is?

OpenStudy (anonymous):

Which of the following statements best describes the graph of x + y = 2? (4 points) It is a line which intersects the x axis at (2, 2). It is a line which intersects the y axis at (2, 2). It is a line joining the points whose x and y coordinates add up to 2. It is a line joining the points whose x and y coordinates add up to 4.

OpenStudy (solomonzelman):

you can exclude some statements just by reading them, without the question.

OpenStudy (solomonzelman):

Does the x-axis have the point (2,2) on it?

OpenStudy (solomonzelman):

Does the y-axis have the point (2,2) on it?

OpenStudy (solomonzelman):

now, choose between C and D

OpenStudy (anonymous):

so which one is it?

OpenStudy (solomonzelman):

which one is it? good question, but I would like to have you answer it:) I will help you however. x + y = 2 So any thing you choose to plug in for x, it will be a must that y will make that number add to 2, so that the statement is true. For example, if I choose x=-1 x + y = 2 (-1) + y = 2 (-1) + y + 1 = 2 + 1 y = 3 so the point is (-1,3) and as we see (-1) + (3) = 2 and so will be true for any "a" if you choose x=a x + y = 2 (a) + y = 2 (a) + y - (a) = 2 - (a) y = 2 - a So your point is (a , 2-a) And again, if you add the coordinates of the point, x + y = 2 (a) + (2-a) = 2 a + 2 - a = 2 2 = 2 So for any x-coordinate we choose to find y, the x-y coordinates of the points will have a sum of?

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