Tutors Answer Your Questions about Linear-systems (FREE)
Question 58323: I am working on systems of linear equations, which I have until now been able to complete by using substitution or elimination methods. Now, however, my homework requires me to solve systems with more than two equations. This problem has three equations, each representing a side of a triangle, and is asking for the three coordinates for the vertices.
I founnd the points at which the first line intersects with the other two (seperately), but do not know how to determine the third vertex.
HERE ARE THE EQUATIONS:
x-y=7
3x-11y=-1
x+y+1=0
AND HERE IS MY WORK THUS FAR:
x-y=7
x=7+y
3(7+y)-11y=-1
21+3y-11y=-1
21-8y=-1
-8y=-22
y=2.75
3x-11(2.75)=-1
3x-30.25=-1
3x=29.25
x=9.75
the point for this vertex is (9.75, 2.75)
7+y+y+1=0
8+2y=0
2y=-8
y=-4
x+-4+1=0
x-3=0
x=3
the point for this vertex is (3,-4)
**so i was able to find these two vertices by substitution method, but do not know how to determine the third one. If any tutor could work on this and send me a solution ASAP, so that I am able to complete the rest of the problems, I would greatly appreciate it!!
With much gratitude and thanks,
A STUDENT
Click here to see answer by funmath(2933) |
Question 59360: Data from 1988 through 2000 showing the percentage of Americans for and against the death penalty for a person convicted of a murder. The data can be modeled by the following system of equations:
13x + 12y = 992 The percent, y, in favor of the death penalty x is the years after 1988
-x + y = 16 The percent, y, against the death penalty x years after 1988
That is the information given here is the question:
Use the substitution method to determine in which year the percentage of American in favor of the death penalty will be the same as the percentage of Americans who oppose it. For that year, what percent will be for the death penalty and what percent will be against it?
This is written exactly like it is in the book.
Thanks
Click here to see answer by funmath(2933) |
Question 59624: I need some help on this problem:
I need to rewrite the equation 2x - 3y = -6 as a function of x
is it:
(A) f(x) = 2/3 x + 2
(B) f(x) = 3/2 x -3
(C) f(x) = 3/2 x -6
(D) f(x) = 2/3 x + 6
Thanks,
Jamie
Click here to see answer by funmath(2933) |
Question 59767: I tried using one of your solvers for the following problem and it gave me an error and said solution not found so if you could help that would be great!
Find the solution of the system
y = x^2 + 5
and
y = 2x + 4
Click here to see answer by Cintchr(481) |
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