Questions on Algebra: Systems of Linear Equations answered by real tutors!

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Question 56574: Plese help me out on this.I dont know what equation to use. Here is the problem-A cheeta is 300 ft. from its prey.It starts to sprint towards its prey at 90 ft. per second. At the same time, thee prey starts to sprint at 70 ft. per second. When will the cheeta catch its prey?
Click here to see answer by ankor@dixie-net.com(22740)

Question 56680: solve by graphing.
x-y=2
3x-3y=6
Click here to see answer by funmath(2933)

Question 56681: solve by graphing
2x+y=4
x+y=3
Click here to see answer by funmath(2933)

Question 56679: solve the system by graphing.
x+2y=4
x+2y=-2
Click here to see answer by funmath(2933)

Question 56645: How do I know which one to subtract by?
EX. -7x-3y=42
Would I subtract by -7x or -3y?
Click here to see answer by tutorcecilia(2152)

Question 56789: solving for y
2x-3y=12
Click here to see answer by Nate(3500)

Question 56807:
I am solving by addition method. These two equations have a bracket at the left end emcompassing both of the equations.
{2x + 3y =8
{-5x + y = -3
remember the bracket at the left encompassing both equations. I can't draw one to go for both lines.
my attempt
{2x + 3y =8 15x+10y=40
{-5x +y =-3 50x-10y= 30

------------------65x = 70
---------------------x= 1.76
Then i have to plug back in to the equation:
2x + 3y =8
2(1.76)+3y =8
3.52 + 3y =8
3y=4.48
y= 1.49
Is this correct? Help!
Click here to see answer by stanbon(75887)

Question 56838: Grace;s average driving speed is 3 mph faster than Thelma's. In the same length of time it takes Grace to drive 156 miles, Thelma only drives 147 miles. What is Grace's average speed?
Click here to see answer by checkley71(8403)

Question 56836: I really dont get how to do this. Here it is- Jacob has $3.50 in nickels and dimes. He has twice as many dimes as nickels. How many nickels and how many dimes does he have?
Click here to see answer by checkley71(8403)

Question 56849: JOhn does a task in 30 minutes, Jennifer does in 45 minutes and Caryn in 1 1/2 hour. How long would it take for the three of them to do it if they do it together?
Click here to see answer by ankor@dixie-net.com(22740)

Question 56880: SOLVE THE SYSTEM BY GRAPHING
X+Y=4
-X+Y=2
ANY AND ALL ASSISTANCE WOULD BE SO GRATEFUL..PLEASE
Click here to see answer by tutorcecilia(2152)

Question 56880: SOLVE THE SYSTEM BY GRAPHING
X+Y=4
-X+Y=2
ANY AND ALL ASSISTANCE WOULD BE SO GRATEFUL..PLEASE
Click here to see answer by funmath(2933)

Question 56846: Find the coordinates of the vertices of the triangle whose sides are contained in the lines whose equations are 5x - 3y = -7, x + 2y = 9, and 3x - 7y = 1.
5x - 3y = -7
x + 2y = 9 --> x = -2y + 9
3x - 7y = 1
5(-2y + 9) - 3y = -7
-10y + 45 - 3y = -7
-13y + 45 = -7
- 45 on both sides
-13y = -52
divide by -13 on both sides
y = 4
put 4 back into the equation to find x:
5x - 3(4) = -7
5x - 12 = -7
add 12 to both sides:
5x = 5
x = 1
(1, 4)
check answers:
5x - 3y = -7 --> 5(1) - 3(4) = 5 - 12 = -7 (correct)
x + 2y = 9 --> 1 + 2(4) = 1 + 8 = 9 (correct)
3x - 7y = 1 --> 3(1) - 7(4) = 3 - 28 = -25 is not equal to 1. (incorrect)
Click here to see answer by funmath(2933)

Question 56955: y=5-x
Click here to see answer by rchill(405)

Question 57175: find the slope of the line through (-5,2) (-5,-3)
Click here to see answer by checkley71(8403)

Question 57182: find the slope of the line through (-5,2) (-5,-3)
Click here to see answer by stanbon(75887)

Question 57293: Solve the system by using the addition method. -0.1x+0.05y=5 and 0.05x+0.06y=2.7 What is x?
Click here to see answer by funmath(2933)

Question 57231: solve the system using the linear combination method: 5x+y=6 -5x+3y=-22
Click here to see answer by funmath(2933)

Question 57386: If possible, express answer as ordered pair x,y, of linear equation.
3x - 5y=1
10y=6x -1
this is as far as I have got.
10y - 6x+ -1
Please help
Thanks,
dnn
Click here to see answer by funmath(2933)

Question 57405: 3[a+3(a+5)] i need help i am not sure this is worked out.
Click here to see answer by checkley71(8403)

Question 57431: please help by solving the system by graphing
x-y=2
3x-3y=6
please graph together for me, I just can not seem to figure out which order they should fall.
Click here to see answer by funmath(2933)

Question 57428: y/y-5 = 7/2
Click here to see answer by Nate(3500)

Question 57443: 63. -6x-3[2x-5(x+8)]-6 and 65. 1/2(x+3)+1/3(3x+6) these two problems i am not sure how these are worked out.
Click here to see answer by stanbon(75887)

Question 57448: i am having problems solving these 3 problems #65 1/2(x+3)+1/3(3x+6) and #67 12x/5(5/12)+(-6x)(-1/6) and #69 -8/8(7xsquare/8)+1/3(3xsquare)+(3xsquare/4)(4/3) please help me. thanks!!!
Click here to see answer by stanbon(75887)

Question 57471: can you show me how these expression by combining like terms are worked?
#95. (-4x)(1/2)+(22y)(1/11)
#97. 3(1/3x-2x+1/6)
#99. -1/3(3y-6)+4(y+3)
#101. 4(3x two square-5x+2)
thanks alot!!!
Click here to see answer by ChillyWiz(11)

Question 57487: 127. -1/4a=2/5 please explain how to work this problem. thanks!!
Click here to see answer by rcmcc(152)

Question 57511: please help me in solving this problem #155 4/3(3x-1)-2x=8/3
thanks!
Click here to see answer by rcmcc(152)

Question 57742: Ver confused with this one Solve sytem of linear equation express in ordered pai (x,y) if possible use substitution or addition method
x- 5/3y=7
4/7x + y=-13/7
thanks, please show me steps
dnn
Click here to see answer by stanbon(75887)

Question 57741: system of linear wquations. solve in substitution or addition method there is no book if possible express in ordered pair
3x-5y=1
10y=6x-1
thanks,
dnn
Click here to see answer by checkley71(8403)

Question 57821: Solve the system by addition.
x + y = 6
x � y = 4
no book, thanks so much for all you do!!!
Click here to see answer by funmath(2933)

Question 57851: decide whether lnes p1 and p2 are perpendicular:
line p1:y= 3x + 5
line p2: y= 1/3x + 5
Click here to see answer by funmath(2933)

Question 57773: Y=2/3x and Y=-2/7x+4/7
I am not even sure how to set this up. Do I need to have the y-intercept for the first system of equation befor I can solve? Can you please help me set this problem up? Thanks for your help!
Click here to see answer by phillv(13)

Question 57926: i need help with solving y= mz + b, for m ..........?
Click here to see answer by stanbon(75887)

Question 57924: -2[3a-2(4a-1)]+2=2a+3-3 please help me solve this problem i am having alot of trouble. thanks much!
Click here to see answer by tutorcecilia(2152)

Question 57946: 13. x/3-5/6=-3/2
15. x/9-2/3=1/4
17. x/7-1/2=1/14
19. x/6-2/9=-5/12
please help me solve these problems i am getting confused. thanks!!!
Click here to see answer by stanbon(75887)

Question 57959: 23. 5x/4+3.2=0
29. 2(x-1.2)=7.8
31. 3.2(5-x/2)=-4.8/0.3
33. x+2/5=0.06
35.3x/4-1.2=x/3+2.5

please help me with these problems i am getting confused. thanks,thanks much!
Click here to see answer by stanbon(75887)

Question 58033: Can someone help me on this problem?
I need to find values for m and b in the following system so that the solution to the system is (-3, 4).
5x + 7y = b
mx + y = 22
Thanks so much,
Sher
Click here to see answer by rcmcc(152)

Question 58035: Can someone help me on ths problem?
I need to solve the following systems by addition. If a unique solution does not exist, I need to state whether the system is inconsistent or dependent.
2x + 3y = 1
5x + 3y = 16
Thanks so much,
Sher
Click here to see answer by stanbon(75887)

Question 58032: Can someone help me on this problem?
I have to solve the following systems by graphing:
3x - 6y = 9
x - 2y = 3
Can someone help with the graph since I have to send this on the computer and can't use paper.
Thanks so much,
Sher
Click here to see answer by funmath(2933)

Question 58048: I've been working on the equation: 2x-3y=24 2x+y=8. I find x when i do the equation my way, and the way i've been shown on this site, but i end up with -5y=16, and i get stucc there.
Click here to see answer by rcmcc(152)

Question 58081: Can anyone help me on this problem?
I need to solve the following systems by addition. If a unique solution does not exist, I need to state whether the system is inconsistent oor dependent.
x + 5y = 10
-2x - 10y = -20
Thanks so much,
Lisa
Click here to see answer by stanbon(75887)

Question 58202: x+y=4
y=2X+1
Click here to see answer by rcmcc(152)

Question 58116: I need some help on this problem please,
I need to solve the following systems by substitution:
8x - 4y = 16
y - 2x - 4
Thank you,
Lyn
Click here to see answer by checkley71(8403)

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