alainabbyboo22
Using the graph, which of these ordered pairs is the best estimate of the solution of the system y = 3x + 2 and y = -1/4 x + 1?
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alainabbyboo22
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A. (0.5, 0.5)
B. (-0.3, 1.1)
C. (1.2, 0.8)
D. (0.8, -0.5)
alainabbyboo22
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dumbcow
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set the 2 equations equal and solve for x
3x+2 = -1/4x +1
alainabbyboo22
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So basically just put the numbers in for x, and whichever equation equals the same for both, is my answer?
alainabbyboo22
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???
dumbcow
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yeah you could do that too :)
alainabbyboo22
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Okay thanks! :)
alainabbyboo22
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I tried plugging in all the numbers for x and none of them equal the same.. or am I doing the wrong thing for this problem? I don't get it.
dumbcow
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Try plugging in x = -0.3 again
3(-.3) +2 = ?
-1/4(-.3) +1 = ?
dumbcow
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there is some rounding error
alainabbyboo22
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3(-.3)+2 = 1.7
-1/4(-.3)+1 = 0.7
alainabbyboo22
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So now what?
dumbcow
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3*(-.3) = -.9
alainabbyboo22
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Okay but my answer choices available are:
A. (0.5, 0.5)
B. (-0.3, 1.1)
C. (1.2, 0.8)
D. (0.8, -0.5)
hoblos
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you must solve it graphically so you only need to find the point of intersection between the two lines y = 3x + 2 & y = -1/4 x + 1 from the graph
then the solution is (-0.3, 1.1)
alainabbyboo22
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Oh!!!!! Well that would've helped me a long time ago. Lol thank you so much hoblos! :) It means a lot! :)
hoblos
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my pleasure XD