Find the coordinates of the points of intersection of the line y + 2x = 11 and the curve xy=12.
Help, please. Forced to do problems with little knowledge of the subject.
Stacey Warren - Expert brainly.com
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put in xy=12
find x ,then corresponding values of y
So, I must foil then I will get the x values, right?
No and absolutely not. "FOIL" isn't a verb. It's not even a thing. Just solve the equation.
You can also go the other way. xy=12 ==> y = 12/x
y + 2x = 11 ==> (12/x) + 2x = 11 and solve for x.
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I got x = 2/3 and x = 4. but I don't really know how to find the coordinates. My teacher didn't teach us this, she just told us we had to do these problems.
The first cannot possibly be a correct solution, Lest's see how you solved either version you have been presented.
I solved what I got from the other dude, but didn't make much sense.
(12/x) + 2x = 11
(12/4) + 2(4) = 11
3 + 8 = 11
Have you ever solved for both solutions of a quadratic equation, or just "guess and check"?
Yes, why do you ask?
I ask because that leads to both solutions, rather than just one.
2x^2-11x+12=0 ==> (2x - ____)(x - 4) = 0
2x-3, I missed type, x = 3/2
Good. There's a good thing to know, there. That '2' out in front suggests that denominators of solutions can be '2', but never '3'.
Okay, we have both x-coordinates. How shall we find the corresponding y-coordinates?
I am not sure, what should I start with? Is there a certain equation I must use?
Either original equation will do. Substitute the now-known values and solve.
Are the y values 8 and 3?
There you go. No more questioning.
Thank you so much, I was just confused about the curve and such. Didn't know if there was any additional equations or anything else that needed to be used.