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

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Question 368106: for what value of a would the following system of equations have an infinite number of solutions?
2x - y = 8
6x - 3y = 41
A: 2
B: 6
C:8
D:24
E:32
Click here to see answer by robertb(4012)

Question 368319: -3x-y=-1
3x+y= 2
-------
0=1
Question: What do you do next? Would it be no solution or all real numbers?
Click here to see answer by Fombitz(13828)

Question 368231: Please help me solve y< 2x = 2 and graph the inequality.
Thank you very much
Click here to see answer by Fombitz(13828)

Question 368385: Solve this system of equations using substitution. Put your answer in ordered pair form, (x, y).
x = y + 6
y = -2 - x
Click here to see answer by Fombitz(13828)

Question 368390: 3/4-1/2x+6=11/2x
Click here to see answer by Fombitz(13828)

Question 368523: Solve the system of equations. Enter your answer as an ordered pair.
6x-y=33
6x+3y=45
Click here to see answer by Fombitz(13828)

Question 368572: What are the 'x' and 'y' intercepts of the equation 2y+17=6x-19
Click here to see answer by Fombitz(13828)

Question 368693: Decide whether the ordered pair is a solution of the system:
(-6,1)
2x=-11-y
3x=-16-2y
Click here to see answer by neatmath(300)

Question 368733: y=5x+6
-18x+3y=-54
Are the graphs of the lines in the pair parallel? Explain.
Solution:
In the second equation, divide everything by 3: -6x+y=-54
Then, add 54 to each side: 54-6x+y=0
Next, subtract y from each side: -6x+54=-y
Now, add the two equations together: 0=-x+60
Finally, add x to both sides: x=60
The equation "x=60" denotes a vertical line, but the equation "y=5x+6" denotes a line with a slope of 5, so the lines are not parallel.
Click here to see answer by mananth(12269)

Question 368743: 4x-12y=2;(10,-1)
write the equation of a line that is perpendicular to the given line and that passes through the given point
Click here to see answer by mananth(12269)

Question 368868: Please help me solve the equation of 3x-9y=15.
Click here to see answer by mananth(12269)

Question 368860: As a restaurant owner there are many decisions that you need to make on a daily basis, such as where to keep inventory levels. You wish to replenish your stock of dishes by purchasing 250 sets for your restaurant. You have two dish design from which to choose. One design costs $20 per set and the other $45 per set. If you only have $6,800 to spend, how many of each design should you order?

Please help me solve this question
Click here to see answer by solver91311(16868)

Question 368741: y=-1/6x-2
12x-2y=-14
tell whether the lines for each pair of equations are parallel,perpendicular,or neither
Click here to see answer by Fombitz(13828)

Question 368739: y=-1/2x-11
16x-8y=-8
tell wether the lines for each pair of equations are parallel,perpendicular,or neither
Click here to see answer by robertb(4012)

Question 368769: 2x+4y=-10;(4,2)
write equation of a line that is perpendicular to the given line and that passes through the given point
Click here to see answer by robertb(4012)

Question 368772: a line passes through(2,-1)and(8,4)
write an equation for the line in point-slope form
rewrite the equation in standard form using integers
Click here to see answer by robertb(4012)

Question 368947: eight years ago, the sum of Peter's age and Carlo's age is at least 26. Peter is 4 years older than Carlo. At least how old is Carlo now ?
Click here to see answer by stanbon(57203)

Question 368958: Find the consecutive even numbers whose sum is 108.

Click here to see answer by Fombitz(13828)

Question 368958: Find the consecutive even numbers whose sum is 108.

Click here to see answer by lefty4ever26(59)

Question 368958: Find the consecutive even numbers whose sum is 108.

Click here to see answer by stanbon(57203)

Question 368943: I can not find guidance on solving systems of linear equations with three variables. Please help!
x+y+z=13 10x+12y+7z=129
Click here to see answer by Fombitz(13828)

Question 368784: the table shows the height of a plant as it grows
based on your model predict the height of the plant at 12 months
time(month) plantheight(cm)
3 9
5 15
7 21
9 27
Click here to see answer by mananth(12269)

Question 369018: 1) x+y=9 x+2y=13 x= y=
2) 3x+7y= 24 9x+5y=24 x= y=
3) 4x+y=17 2x+3y+21 x= y=
4) 18x+y=42 6x-3y=-6 x= y=
5) x+y+2z=5 x+y=5 x+3y+z=11 x= y= z=
6) x+10y+z=52 5x+y+4z=15 x+2y-3z=12 x= y= z=
7) 2x+2y+4z=10 3x+3y=15 4x+12y+4z=44 x= y= z=
Click here to see answer by Fombitz(13828)

Question 369070: I am needing help with a system of equations with 3 variables
The first equation in this problem is 6q-r+2s=8
The second equation is 2q+3r-s=-9
The third equation is 4q+2r+5s= 11
I am in Algebra 2 in high school and know how to use substitution and elimination.
Click here to see answer by Fombitz(13828)

Question 369085: Solve using substitution.
2x + y = -9 so this is what I tried... 2x - 2x -9 = -9
-2x -2x
-2x -9 = -2x -9
+9 +9
-2x = -2x???? What am I doing wrong?
y= -2x -9
Click here to see answer by Fombitz(13828)

Question 369116: How do you solve a problem like this? y= 3x and 3x+4y= 30
Click here to see answer by neatmath(300)

Question 369397: 5(3x - 2y)- 5(4x + y)
Click here to see answer by Fombitz(13828)

Question 369397: 5(3x - 2y)- 5(4x + y)
Click here to see answer by user_dude2008(1861)

Question 369486: solve the equation algebraically.
4x - 3 = 2
&
9 = 10 - x
Click here to see answer by ewatrrr(10682)

Question 369509: Solve for x, y and z
x + y + z = 2
x + 2y - z = 5
3x - y = 16
answer: (x;y;z) = ( ; ; )
Click here to see answer by Fombitz(13828)

Question 369574: the variable x and y vary directly. Use the given values to write an equation that relatesx and y.
1) x=3, y=15
2) x=4, y=-16
plz i need help asap
Click here to see answer by Alan3354(30924)

Question 369608: I am supposed to solve a linear equation using the method of elimination, I have retried doing it over and over but when I go back to check my work it doesn't come out as the correct answer. So I need help solving this by using method of elimination. Please help me solve this equation: x+3y=14
x+2y=10
Hopefully you know this method, I do but this particular problem is causing me to struggle, so can you show me the steps to how you figured it out? Thank you!
Click here to see answer by Fombitz(13828)

Question 369621: Find the y-intercept of the graph of the equation: y - 3x = 4
Find the x-intercept of the graph of the equation: x + 6y = 7

Click here to see answer by Fombitz(13828)

Question 369644: Find the y-intercept of the graph of the equation: y = 5 - 3x

Click here to see answer by rfer(12644)

Question 369642: Find the x-intercept of the graph of the equation: 4x + y = 3
Find the y-intercept of the graph of the equation: 2y + x = 8

Click here to see answer by rfer(12644)

Question 369660: Can you help me with this problem please? 2u+v=9
u/2 -1/2=-v
I have to solve it using elimination but every time I try to check my solution it comes out incorrect. Can you help me please? I would really appreciate it! Thank you!
Click here to see answer by edjones(7569)

Question 369675: how would you write this in basic form (y= mx+b)
y = 5 - 3x

Click here to see answer by Fombitz(13828)

Question 369675: how would you write this in basic form (y= mx+b)
y = 5 - 3x

Click here to see answer by Alan3354(30924)

Question 369589: Find the x-intercept of the graph of the equation: x + 6y = 7
Find the x-intercept of the graph of the equation: 4x + y = 3

Click here to see answer by Fombitz(13828)

Question 369702: I'm having trouble solving this problem
1/3x + 5 = - 4
Click here to see answer by Fombitz(13828)

Question 369702: I'm having trouble solving this problem
1/3x + 5 = - 4
Click here to see answer by rfer(12644)

Question 369702: I'm having trouble solving this problem
1/3x + 5 = - 4
Click here to see answer by checkley77(12569)

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