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

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Question 1143519: Hello! I need help with this equation.
Find a value for a so that the solution of the system is (6, - 1)
y = (2/3)x - 5
y = ax + 5
Thanks!

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Question 1143522: Q No 1) The Weaving Department of a factory occupies 3.5 times as much floor as the Shipping Department. If the Weaving Department occupies 4,200 square feet, what is space occupies by the Shipping Department?
Q No 2) A manufacturer of a certain product knows that he can sell as many units as he produces in a week at a price of Rs. 10 each. His variable cost of production is Rs. 2 per unit and total fixed cost for a week is Rs. 8,000. Determine break-even point graphically in units and value.

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Question 1143523: Q No 1) The Weaving Department of a factory occupies 3.5 times as much floor as the Shipping Department. If the Weaving Department occupies 4,200 square feet, what is space occupies by the Shipping Department?
Q No 2) A manufacturer of a certain product knows that he can sell as many units as he produces in a week at a price of Rs. 10 each. His variable cost of production is Rs. 2 per unit and total fixed cost for a week is Rs. 8,000. Determine break-even point graphically in units and value.

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Question 1143540: A furniture shop refinishes tables. Employees use two methods to refinish tables. Method I takes 0.5 hours and the material costs $10. Method II takes 2.0 hours, and the material costs $4. Next week, they plan to spend 85 hours in labor and $476 in material for refinishing tables. How many tables should they plan to refinish with each method?
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Question 1143622: Given the equation (x+yi)(4+3i)=7-4i
Find x and y ?

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Question 1143622: Given the equation (x+yi)(4+3i)=7-4i
Find x and y ?

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Question 1143623: What is the product AB of the following complex numbers,in polar form?
A=3+4i B=8+6i

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Question 1143624: Find the general solution of this linear differential equation:
(x^4 +2y)dx-xdy=0

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Question 1143645: A space shuttle was place in a circular orbit 250 mi above the earth's surface.
One orbit is completed in 1.5hr . If the radius of the earth is 3,964mi .what is the linear velocity of the shuttle in miles per hour (to three significant digits)?
Can you plss draw the fig. Thankyou

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Question 1143789: If y=x/x+1,dy/dx=?
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Question 1143789: If y=x/x+1,dy/dx=?
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Question 1143887: Suppose A is a 5 x 3 matrix, B is an r x s matrix and C is a 4 x 5 matrix. If At BC is defined, then what is the size of b
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Question 1143983: If 2x + y = a, and 5x + y = b, then x =
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Question 1143976: A certain line on the xy plane contains the points (3,2) and (6,0). Which of the following points may also be found along this line?
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Question 1143976: A certain line on the xy plane contains the points (3,2) and (6,0). Which of the following points may also be found along this line?
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Question 1144084: how to calculate gradient of the graph
y=4 and x= -2

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Question 1144084: how to calculate gradient of the graph
y=4 and x= -2

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Question 1144095: {2x+y=13, -x+y=5}
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Question 1144095: {2x+y=13, -x+y=5}
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Question 1144120:
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Question 1144147: We have three pay levels. Level 1 employees begin at $15,000. The notes say that in the third year the salary should rise to $19,000. Level 2 employees start at $30,000 and according to the notes, their salary should rise to $36,000 in year 3. Finally, Level 3 employees start at $50,000 and the notes say that they should be making $58,000 by the end of year 3. The only other piece of information I have is that the growth of salary over time is supposed to follow a linear growth pattern - whatever that means.
The notes also say that once a Level 1 employee has worked long enough to reach a salary of $30,000 he or she should either be promoted to Level 2 or fired. The same applies to Level 2 employees when they reach $50,000 in salary. Can you help me out? I need first to know what exactly is the rate of increase for each level of employee over time. I would also like a mathematical model that will allow me to input the number of years the employee has been working for us and give back their current salary.
Finally, I would like to know after how many years of working for us a Level 1 employee should expect to be promoted to Level 2 and after how many years of working for us can a Level 2 employee be promoted to a Level 3.

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Question 1144270: 5y/6+3y/4=19/12 find the value of y
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Question 1144270: 5y/6+3y/4=19/12 find the value of y
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Question 1144269: Solve 4/x+5/y=7 ; 3/x-4/y= 13
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Question 1144347: please help me solve this: if f(x)=x^2+2x+2,find two functions g for which (f°g)(x)=x^2-4x+5.
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Question 1144205: A charity organization had a fundraiser where they sold each ticket for a fixed price. After selling 200 tickets, they had a net profit of $12,000. They had to sell a few tickets just to cover necessary production costs of $1200.
Let y represent the net profit (in dollars) when they have sold c tickets. Complete the equation for the relationship between the net profit and the number of tickets sold.
Y =

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Question 1144467: if the equations 2x + ky = 6 and px+ 3y = 3 are dependent, the find the values of k and p
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Question 1144468: If the equations 2x + ky = 6 and px+ 3y = 3 are dependent, then find the values of k and p.
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Question 1144482: A ball thrown from a height of 1 meter with an initial upward velocity of 25 m/s. The balls height h (in meters) after t seconds is given by the following h=1+25t-5t^2 . Find all values of t for which the balls height is 11 meters. Round to the nearest hundredth
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Question 1144492: find x and y if, 3^(2x-y) = 1 and 16^x/4 = 8^3x-y
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Question 1144605: (x)=x^(2)-18 and G(x)=2-x
find (f.G)(n)

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Question 1144860: Hello.My name is Marlene. I would appreciated if you could assist me with this equation.Slope-intercept form, and find the slope.5x-y+2=0
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Question 1144925: Solve the system of equations by the substitution method.
4x-y=6
2x+3y=18

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Question 1145063: 4x+8y+2=2
x+7y-3y=-14
2x-3y+2z=3

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Question 1145191: Is x/2 + y/3 =1 the same as 1/2x +1/3y =1?
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Question 1145192: The problem asks to find any intercepts and graph:
0.1x-0.2y=0.4
The answer is y-int (0,-2) and x-int (4,0). How do you get that x-int????
My work:
.1x-.2y=.4
Subtract .1x from both sides -.2y= -.1x+.4
Divide -.2 from both sides y=.1/.2x-.4/.2
Y=1/2x-2
X-int (-1,2) and y-int (0, -2)

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Question 1145192: The problem asks to find any intercepts and graph:
0.1x-0.2y=0.4
The answer is y-int (0,-2) and x-int (4,0). How do you get that x-int????
My work:
.1x-.2y=.4
Subtract .1x from both sides -.2y= -.1x+.4
Divide -.2 from both sides y=.1/.2x-.4/.2
Y=1/2x-2
X-int (-1,2) and y-int (0, -2)

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Question 1144987: The phone company NextFell has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 210 minutes, the monthly cost will be $59. If the customer uses 700 minutes, the monthly cost will be $108. A) Find the slope and explain what it means.

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Question 1145420: The second side of a triangle is four more than the first side, and the third side is five more than the second. If the product of the first and third sides is added to the product of the second and thirds sides, the result is 124 more than twice the square of the first side. find the perimeter of the triangle.
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Question 1145456: 2x/3 +3y/4= 11/12
x/3+7y/18=1/2

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Question 1145581: Students in a school agreed to buy a trophy that would be presented to the winning soccer team. Before the trophy was purchased, 10 students left the school, and this meant that all other students had to pay an extra dollar. It was then decided that 15 students who did not play soccer should not contribute to the cost of the trophy. This resulted in the remaining students' cost increasing another $2 each. If the trophy cost $n, in which range is n?
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Question 1145614: whats the midpoint of the segments (-2, -1) and (6, 3)

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Question 1145677: Solve this system using the substitution method: y = 3x - 2; y = (1/2)x - 4
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Question 1145716: x/2 + y/3=7/6
2x/3+3y/4=5/4
Is there something I can do here so I can get rid of the fractions?

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Question 1145715: how much low fat milk (1% fat) and how much whole milk (4 % fat) should be mixed to make a 5gal of reduced fat milk (2% fat)?
x+y=5
1x+4y=5•2
Not sure if my equations are set up the correct way. I am confused on what to do since they are in percent. Please help thank you!

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