Question 1142667: There was a question on a certification test that read:
"Which graph best represents this system of equations?"
x + y = 10
x - y = 4
My answer was (x =7, y = 3)
When I saw the different linear graphs, I did not know which one to select because only the coordinate points (7,3) satisfy the equation. Each line of the graph went through (7,3), but in different directions. How do I find other coordinate points that is a solution to this equation?
Found 3 solutions by Alan3354, josgarithmetic, ikleyn:
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! There was a question on a certification test that read:
"Which graph best represents this system of equations?"
x + y = 10
x - y = 4
My answer was (x =7, y = 3)
When I saw the different linear graphs, I did not know which one to select because only the coordinate points (7,3) satisfy the equation. Each line of the graph went through (7,3), but in different directions. How do I find other coordinate points that is a solution to this equation?
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There are no other points that satisfy the 2 equations.
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There are an infinite # of lines that go thru the point (7,3).
The slope of x + y = 10 is -1.
The slope of x - y = 4 is +1.
You can use that info, if needed.
Answer by josgarithmetic(39617)  (Show Source):
Answer by ikleyn(52778)  (Show Source):
You can put this solution on YOUR website! .
When the problem asks "Which . . . ", then I expect that there is a list of options to choose the correct answer from there.
In you case, it should be a series of plots to choose from them.
Otherwise, we, the tutors, may theorize in totally wrong directions uselessly.
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