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

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Question 445734: I tried this on my own and then checked it against answers I found and nothing makes sense to me now...this is a 4 part problem and I am showing what I got so far too.
Imagine you are in the market for a new home and are interested in a new housing community under construction in a different city.
a-The sales rep informs you that there are 56 houses for sale with two floor plans still available. Use x to represent floor plan one and y to represent floor plan two. Write an equation that illustrates the situation. I wrote x+y=56
b-The sales rep later indicates that there are three times as many homes available with the second floor plan than the first. Write an equation that illustrates this situation. Use the same variables you used in part a. I got y=3(x)
c-Use the equations from parts a and b of this exercise as a system of equations. Use substitution to determine how many of each type of floor plan is available. Describe the steps you used to solve the problem. so my equations are x+y=56 and y=3(x)...is this all right so far?
d-What are the intercepts of the equation from part a of this problem? What are the intercepts from part b of this problem? Where would the lines intersect if you solved the system by graphing? I got two intercepts of (0,56) and (56,0). I also found that (14,42) is where it intercepts. Am I right or can you show me the correct way? I tried the equations the best I could....

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Question 445784: i have to use substitution to solve this linear system
x + 4y = 17
5x + 2y = -5

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Question 445966: State whether the system is consistent and independent, consistent and dependent, or inconsistent: x + y = 4
2x - y = -7

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Question 446028: Please help me Solve this linear Equation.
x+2(x-5)=14

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Question 446133: Solve the system of equations.
2x+8y+z=17
-x+y+4z=-7
x+4y+4z=-2

I would appreciate the help. thank you

Click here to see answer by mananth(16946) About Me 

Question 446200: its a linear programming Question:
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Question 446280: 5x + 5y = -20
9x + y = 66

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Question 446627: Solve the system by the best method.
4x + 6y = 4
4x + 6y = 10

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Question 446658: A small company produces both bouquets and wreaths of dried flowers. The bouquets take 1 hour of labor to produce, and the wreaths take 2 hours. The labor available is limited to 80 hours per week, and the total production capacity is 60 items per week. Write a system of inequalities representing this situation, where x is the number of bouquets and y is the number of wreaths.
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Question 446815: Hi! My question is: What are the dimensions of a rectangle having perimeter 28 cm and a diagonal of length 10 cm. I'm hoping that using the pythagorean theorem is the correct way to go about this, but I keep getting strange answers. Any help would be greatly appreciated! Thanks!
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Question 446817: Hi! I am supposed to solve this system: 2x-5y+4z=18, x+3y+5z=7, -3x-2y+4z=22. These kinds of problems seem so daunting to me. I do t even know where to begin. Any help would be greatly appreciated! Thanks so much!
Click here to see answer by sudhanshu_kmr(1152) About Me 

Question 446989: x-4y=8 how do you fix this
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Question 447093: 3x + 5y = 0
x - 4y = 0

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Question 447231: solve by substitution
8x+4y=4
9x-4y=-38

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Question 447336: how do you prove your solution is correct in a linear equaton?

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Question 447410: x+y=3
x^2+y^2=369
Please show me the steps to solve this in any way.

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Question 447903: substitution 3m + 4k = 14
2m + k = 1

with steps too

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Question 447905: substitution
a - 4b = 2
2a - 5b = 1
with steps too

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Question 447911: I need to solve x2(this is x squared)+2x-4=0
I tried to solve by adding 4 to both sides to get x squared +2x=4
Then I divided 2x by 2 and squaring to get 1
then I added one to both sides to get X squared +2x+1=5
Then I factored to get (x+1)squared=5
Then I took the square root of both sides to get x+1=sq root of 5
Then I subtracted one from both sides to get
x=-1+sq root of 5 and x=-1-sq root of 5
Is this correct?

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Question 448088: Mary was asked to find the slope of the line 3x - 4y = 12. She says the answer is
3
4
.

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Question 448050: how do u find 7x-9y=23
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Question 448111: Solve the system by the method of elimination.
x-2y+3z=11
2x-z=3
3y+z=-8

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Question 448391: 2x + 4y = 16
3x - 2y = 6
is this equation one solution, no solution , or infinate number of solutions

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Question 448421: -2x+3y=14
x-4y=-12

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Question 448439: elimination / addition
x + 5y = 7
-x + 7y = 17

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Question 448566: how do you solve y=4x+2 and y=3x+6 step by step?
Click here to see answer by ewatrrr(24785) About Me 

Question 448638: which equation reresents a line parallel to the line whose equation is 2y-5x=10
a.) 5y-2x=25
b.) 5y+2x=10
c.) 4y-10x=12
d.) 2y=10x=8
please & THANK YOU! (:

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

Question 448917: What I need is a thorough laymens term on how to solve this math.
Determine whether the point (7,2) is a solution of the system
-3x+4y=-13
-2x+8y=2
by substituting the point into each equation?
Thank you so much

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Question 449108: I have to solve by substitution. Clear fractions first.
1/5x+1/5y=1
1/5x-1/5y=9/5
I keep getting the wrong answer.

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Question 449380: I need help with this question please:
Solve the system of equations
x + y = 5
x - y = -9

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Question 449380: I need help with this question please:
Solve the system of equations
x + y = 5
x - y = -9

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Question 449400: elimination/ addition
a - 2b = 7
3a - 2b = 9
with steps too

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Question 449414: elimination/ addtion method
x - 3y = 4
x + 5y = -4

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Question 449397: elimination/addition
a - 3b = 4
a + 5b = -4
with steps too

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Question 449471: x+7y = 3 (1)
x=9-7y (2)
Solve the system of equations, is there a solution?

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Question 449483: wat is y to the second power minus seven y plus four

y scuared-7y+4 when y =-3

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Question 449441: solve by using elimiation/addtion
2m - 5n = 13
5m + 3n = 17
show steps

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Question 449438: solve elimination/addtion method
2c - 3d = 14
5c - 6d = 32
show steps

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Question 449398: elimination / addition

-5x - 3y = -14
5x - 6y = 32
with steps too

Click here to see answer by mananth(16946) About Me 

Question 449402: elimination/ addition
3x + y = 7
x + 2y = 4
with steps too

Click here to see answer by mananth(16946) About Me 

Question 449742: y=2x^2,y=x+3 solve using system of equations algebraically.
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Question 449814: y=7-x;y^2+x^2=9 solve using system of equations algebraically.
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Question 449859: 4y + x = 3
2x + 8y = 5

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Question 450021: I need to know how to solve this by substitution.
x=y-6
2x+3y=33

Click here to see answer by nerdybill(7384) About Me 

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