Questions on Algebra: Systems of equations that are not linear answered by real tutors!

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Question 104073: Given f(x) = 3x + 2, find f (a – 1). Please HELP!!!
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Question 104080: The sum of two numbers is 32. Their difference is 10. What are the two numbers?
What?

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Question 104079: Janet invested $29,000, part at 12% and part at 14%. If the total interest at the end of the year is $3,800, how much did she invest at 12%?
I am having a terrible time setting up this problem...

Click here to see answer by Earlsdon(6294) About Me 

Question 104083: Graph f(x) = –2x + 4. I am not so sure how to graph things...I have been trying the old x / y T method but am not so sure on the plot points? Help please?
Click here to see answer by stanbon(75887) About Me 

Question 104081: Solve the system by substitution.
3x – y = –7
x + y = –9

Click here to see answer by jim_thompson5910(35256) About Me 

Question 104082: Solve the system by substitution.
3x – y = –7
x + y = –9

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Question 104078: Solve the system by addition.
2x + 4y = –9
4x – 2y = –3

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Question 104077: Solve the system by graphing.
x – y = 5
x + y = 3
What I really need help with is what are the plot points? x=(5,0) y=(0,3)?

Click here to see answer by jim_thompson5910(35256) About Me 

Question 104069: Given f(x) = 3x + 2, find f (a – 1). Please HELP!!!
Click here to see answer by elima(1433) About Me 

Question 104244: 1. 2x-y=1
6x-3y=3
2. y=5x-1
y=5x+4
3. x+y=38
x=2y-25
4. -2x+5y=9
x+y=13
5. 2x+y=7
3x-y=3
6. y=3x+2
2x+y=-8
7.y=-x-3
y=-2x-8
8. y<_3x-2
y>x+1
9. y=x
y=2x-4
10. -2x+y=6
y=3x+9
11. y<3x-2
-3x+y-2
12. x+y=8
x-y=10
13. y=x-3
y=-3x+25
14. 4x=2y+1
2x+y=4

15. x=2y=10
2x+4y=10
16. y=x+4
y=4x+1
17. y=6x-4
y=-2+28
18. 3x-1oy=-25
4x=40y=20
19. 8x=11y=20
5x-11y=59
20.x-4y=11
8x-6y-36

Click here to see answer by MathLover1(20849) About Me 

Question 104307: what are the steps and some example. For Soling systems of equations. like
y+x=4
y=-4x+10

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Question 104592: 3/2L=-4m what is L
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Question 105055: What is 47%3C20-14x
Click here to see answer by HyperBrain(694) About Me 

Question 105204: Thanks in advance for considering this question.
Recently on a desert trip to Utah, I dropped a stone from the ledge of a canyon and timed the return sound of the stone hitting the bottom. Ultimately hoping to calculate the distance to the bottom of the canyon(ignoring certain real world phenomenom such as the whole terminal velocity vs. accelleration due to gravity in a vacuum and the fact that sound doesn't travel in a vacuum thing)I have attempted to solve for the following 3 unkowns algebraically. The total time (TT) is the summation of the time for the rock to hit bottom (TR) plus the time for the sound to return (TS).
TT = TR + TS
Assuming an initial velocity of 0, the distance (D) can be represented by the formula:
D = (.5)(accelleration due to gravity)(TR squared)= (.5)(32f/s/s)(TR squared)
Therefore TR = the square root of the quantity [D/[(.5)(32f/s/s)]]
Sound travels at 1087 ft. per second (ignoring certain environmental factors)and therefore TS = D/1087
TT is known, TR, TS, and D are unknown. We have three equations and 3 unknowns. I started by using TT = TR + TS and replacing TR and TS with the two distance equations i.e. TT = [square root of the quantity D/[(.5)(32f/s/s)]]+[(D/1087)] and trying to solve for D. Can't seem to get er done. Please help with solution and insights (solve for TT in general and I'll be back in the desert throwing rocks down canyons of known depth in no time)!
Thanks

Click here to see answer by scott8148(6628) About Me 

Question 105054: I need help solving this problem 3x-7=x-9
Click here to see answer by checkley75(3666) About Me 

Question 105383: Solve the system by substitution.
x + 5y = 0
–2x – 4y = 6

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Question 105411: Adult tickets for a play cost $16 and child tickets cost $3. If there were 23 people at a performance and the theater collected $199 from ticket sales, how many adults and how many children attended the play?
Click here to see answer by checkley75(3666) About Me 

Question 105416: An airplane covered 14 miles of its route while decreasing its altitude by 13,000 feet. Find the slope of the airplane's line of descent. Round to the nearest hundredth. [Hint: 1 mi = 5280 feet.]
Click here to see answer by checkley75(3666) About Me 

Question 105420: Determine which two equations represent parallel lines.
(a) y = –7x + 4
(b) y = 7x + 4
(c) y = x + 4
(d) y = –7x + 9

Click here to see answer by checkley75(3666) About Me 

Question 105418: Solve the system by graphing.
x + y = 4
–x + y = 2

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Question 105419: Determine which two equations represent parallel lines.
(a) y = –7x + 4
(b) y = 7x + 4
(c) y = x + 4
(d) y = –7x + 9

Click here to see answer by checkley75(3666) About Me 

Question 105426: I have this question 2x...different answers to pick from...please help me out??
Find the slope of the line passing through the points (–2, 7) and (8, –1).
1st set of answers...
a.)5/4
b.)-5/4
c.)4/5
d.)-4/5
2nd set of answers...
a.)0
b.)1
c.)-4
d.) Undefined
how is this possible and can it broken down into steps?

Click here to see answer by checkley75(3666) About Me 

Question 105435: Find the slope of any line perpendicular to the line through points (2, 11) and (3, 4).
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Question 105437: combine like terms...
6a^2+4a+5+3a^2+7a-2

Click here to see answer by Ahmath(7) About Me 

Question 105439: combine like terms...
6a^2+4a+5+3a^2+7a-2

Click here to see answer by jim_thompson5910(35256) About Me 

Question 105424: I have this question 2x...different answers to pick from...please help me out??
Find the slope of the line passing through the points (–2, 7) and (8, –1).
1st set of answers...
a.)5/4
b.)-5/4
c.)4/5
d.)-4/5
2nd set of answers...
a.)0
b.)1
c.)-4
d.) Undefined
how is this possible and can it broken down into steps?

Click here to see answer by jim_thompson5910(35256) About Me 

Question 105458: Complete the ordered pairs for the equation y = 5x + 5.
(?,0), (4/5,?), (0,?), (-4/5,?)

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Question 105462: One number is 3 less than another. If 7 times the smaller number minus 3 times the larger number is 7, find the two numbers.
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Question 105460: Match the graph with one of the equations.
Crosses at (0,2) & (2,0)

A) y = –x – 2
B) y = x – 2
C) y = –x + 2
D) y = x + 2

Click here to see answer by checkley75(3666) About Me 

Question 105459: Match the graph with one of the equations.
Crosses at (0,2) & (2,0)

A) y = –x – 2
B) y = x – 2
C) y = –x + 2
D) y = x + 2

Click here to see answer by MathLover1(20849) About Me 

Question 105488: Evaluate: 70 ÷ 7 – 15 ÷ 5
Click here to see answer by Alex0130(1) About Me 

Question 105434: Find the slope and the y-intercept.
y = 2x – 4

Click here to see answer by edjones(8007) About Me 

Question 105493: Graph the inequality.
x – y < 2

Click here to see answer by jim_thompson5910(35256) About Me 

Question 105485: An airplane covered 14 miles of its route while decreasing its altitude by 13,000 feet. Find the slope of the airplane's line of descent. Round to the nearest hundredth. [Hint: 1 mi = 5280 feet.]
Click here to see answer by elima(1433) About Me 

Question 105491: Graph the inequality.
x – y < 2

Click here to see answer by elima(1433) About Me 

Question 105710: Here is the question:
Solve the following system of equations using elimination. Show all of your work. Once you solve the system, explain each step in solving the process. Include what you did and why you did it. State the solution and explain what the solution actually tells you about the system of equations.
6x+3y=27
-4x+7y=27
This is what I started, but I'm not sure if it's right....
7(6x+3y=27) = 42x+21y=189
-3(-4x+7y=27) = 12x-21y=81

Click here to see answer by bucky(2189) About Me 

Question 105417: Solve the system by graphing.
x + y = 4
–x + y = 2

Click here to see answer by alvinjohnburgos(11) About Me 

Question 107473: graph the solution set for the equation
y=-2/3x-2
i am trying to use Graph but it does not seem to be working for this problem.
please help

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Question 107769: Solve each of the following by graphing
2x+y=8
2x-y=0

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Question 107770: Solve each of the following by graphing
3x-y=3
3x-y=6

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Question 107768: Solve each of the following by graphing
3x-2y=6
2x-y=5

Click here to see answer by jim_thompson5910(35256) About Me 

Question 107767: Solve each of the following by graphing
x-y=4
2x-2x=8

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Question 107766: Solve each of the following by graphing
x+2y=4
x-y=1

Click here to see answer by jim_thompson5910(35256) About Me