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

Tutors Answer Your Questions about Linear-systems (FREE)

Question 877634: determine the axis of symmetry of the quadratic function f(x) = 3x^2 - 5x - 1
Click here to see answer by nerdybill(7384)

Question 877847: graph the equation using the point and the slope. y - 9 = -4(x + 10)
Click here to see answer by rfer(16322)

Question 877916: solve using elimination
x-3y=-15
10x-y=24
Click here to see answer by josgarithmetic(39618)

Question 878071: what is the value of 5y-10 if y=7?
Click here to see answer by Fombitz(32388)

Question 878158: I need help with my son's homework please. The problem is:
Consider the system {y=a+bx
y=16-7x} (Brackets are around both equations)
If this system has infinitely many solutions, then what must be the value of a?
Click here to see answer by rothauserc(4718)

Question 878175: Y=-5x+6
4y+20x=24
Click here to see answer by sofiyac(983)

Question 878311: hello may i have help for this question?
The perimeter of a rectangular field is 366 meters. The longest
side of the field is 35 meters longer than the shorter side. What
is the width of the field?

Click here to see answer by ewatrrr(24785)

Question 878310: A farmer bought 3 cows and 6 horses for $8,700. A couple of months
later he bought 6 cows and 2 horses for $7,900. If the price of
each horse and each cow did not change, what is the price of each
cow?
Click here to see answer by ewatrrr(24785)

Question 878313: hello may i have help for this question?
The difference between the first number and two times the second
number is -54, while the sum of three times the first number plus
twice the second is 94. What is the first number?
Click here to see answer by ewatrrr(24785)

Question 878315:
Amy has $325 in 39 bills of $5 and $10 denominations. What is the
quantity of $5 bills that Amy has?
Click here to see answer by ewatrrr(24785)

Question 878487: Determine if the system has 1 solution, no solutions, or zero solutions:
5x-15y=35
15y-10x=-20
Click here to see answer by jim_thompson5910(35256)

Question 877563: Multiple Choice
Determine the equation of g(x) that results from translating the function f(x) = x^2 + 3 upward 6 units.
1.g(x)=(x+9)^2
2.g(x)=(x+6)^2+3
3.g(x)=x^2-3
4.g(x)=x^2+9
Click here to see answer by Fombitz(32388)

Question 877521: This homework problem has been stumping me.
I am given this matrix:
Matrix M = {{1,0,2},{-1,1,2},{-1,-1,2}}
Then asked to solve this equation:
M^3 + xM^2 + yM + zI = 0
I is the 3x3 identity matrix. x, y, and z are constants
Any hints on how to get started would be appreciated! Thank you
Click here to see answer by Fombitz(32388)

Question 877565: Multiple Choice
Determine the equation of g(x) that results from translating the function f(x) = (x + 10)^2 to the right 15 units.
1.g(x)=(x-5)^2
2.g(x)=(x+25)^2
3.g(x)=(x+10)^2-15
4.g(x)=(x+10)^2+15
Click here to see answer by Fombitz(32388)

Question 879027: Write an equation of the line passing through (�8, �3) and perpendicular to y =1/4x+2 . Write your answer in standard form Ax + By = C, A > 0
Click here to see answer by lwsshak3(11628)

Question 879025: Write the equation of the line which passes through (2, �1) and is perpendicular to the line with equation 3y � x = 1.
Click here to see answer by josgarithmetic(39618)

Question 879166: Direct variation: write a linear model that relates the variables
s is proportional to t; s= 32 when t=4
Click here to see answer by ewatrrr(24785)

Question 879225: X+ 2y = 3 solve in terms of y
Click here to see answer by ewatrrr(24785)

Question 879563: Please help with the answer and how you get the correct answer for the following
2. Find the solution to the system of linear equation by graphing. Express your answer as an ordered pair.
2x-2y=10
3x+3y= 9
Click here to see answer by ewatrrr(24785)

Question 879534: 4y-(3x+2y)+(5y+x)
Click here to see answer by rfer(16322)

Question 879646: I have tried for an hour now, and I do not understand these equations.. For instance; how do you sovle this?
x + 2y = 13
2x - 3y = -9

Click here to see answer by jim_thompson5910(35256)

Question 879542: 5x - 5y = 10
3x - 2y = 2
Part A: Create an equivalent system of equations by replacing one equation with the sum of that equation and a multiple of the other. Show the steps to do this.
Part B: Show that the equivalent system has the same solution as the original system of equations.
Click here to see answer by josgarithmetic(39618)

Question 879835: You can have the party at a pizza place for $8 per person plus $30 for favors and a small cake or at a taco place for $12 per person plus $14 for a large cake.
How many children would you have to invite to the party for the cost to be less at the pizza place?
Click here to see answer by josmiceli(19441)

Question 879968: Find the gradient and y-intercept for these linear relations and sketch their graphs.
(a) y=-1/2x+3
m= b=
(b) 2y-3x=2
m= b=
Thank you so much!
Click here to see answer by Fombitz(32388)

Question 880178: find solution of the system of linear equations using elimination
5x+3y=-2
3x-3y=2

Click here to see answer by josgarithmetic(39618)

Question 880204: Determine the equation of g(x) that results from translating the function f(x) = (x + 8)^2 to the right 12 units.
1. g(x) = (x + 8)^2 + 12
2. g(x) = (x + 8)^2 - 12
3. g(x) = (x + 20)^2
4. g(x) = (x - 4)^2
I say the answer is 4. g(x) = (x - 4)^2
Is this correct?

Click here to see answer by josgarithmetic(39618)

Question 880275: Solve the system of equations by elimination:
x^2+y^2=64
(x^2)/64 - (y^2)/1 = 1
I'm having trouble converting the second equation to match the first part.
Click here to see answer by josgarithmetic(39618)

Question 880488: A grocer plans to mix candy that sells for $2 per pound with candy
that sells for $4 per pound to get a mixture that sells for $2.75 per pound. How much of each type of candy should she use if she wants 40 pounds of the mixture?
Click here to see answer by lwsshak3(11628)

Question 880668: 4x-y=4
4x-y+1
Click here to see answer by josgarithmetic(39618)

Question 880669: solve the linear equatins graphically 4x-y=4
I say the answer is 4/1
Click here to see answer by jim_thompson5910(35256)

Question 880895: solve the following system of equations
6x+7y=4
6x+9y=12
Click here to see answer by LinnW(1048)

Question 880969: Please help me solve this equation. The problem says: solve the system.
3x-y=1
Click here to see answer by jim_thompson5910(35256)

Question 881073: 1/3(4x+1)=2(2-2x)=17
Can you help me with step by step instructions. thank you
Click here to see answer by Boyen(12)

Question 880609: What is the perimeter of a rectangle whose width is (x-3) and whose length is (3y+5)?
Click here to see answer by Fombitz(32388)

Question 881200: Given f(x) = �5x + 3, find f(a + 1).
Click here to see answer by jim_thompson5910(35256)

Question 881200: Given f(x) = �5x + 3, find f(a + 1).
Click here to see answer by Alan3354(69443)

Question 881332: Bob leaves the same time as Jane. Bob drives 4 Mi/h faster than Jane. After 2 hours of driving in opposite directions, they are 116 miles apart. How fast is Bob driving?
Click here to see answer by josmiceli(19441)

Question 881400: How do you solve this problem?
1/3 (6x -18) = 4(3x-5)?
Click here to see answer by Fombitz(32388)

Question 881465: so i need to do the substitution method for this equation
x-3y=8
x+y= -2
i also need to do elimination method for this equation
3x+4y= -4
5x-2y= -2
Click here to see answer by Alan3354(69443)

Question 881544: In a class of 40 students, 17 have ridden an airplane; 28 have ridden a boat; 10 have ridden a train; 12 have ridden both an airplane and a boat; 3 have ridden a train only; 4 have ridden an airplane only. Some students in the class have not ridden any of the three modes of transportation and an equal number have taken all three. How many students have taken all three?

Click here to see answer by richwmiller(17219)

Question 869344: Solve the system of equations using matrices and row of operations.
3x-5y=3
15x+5y=21
Click here to see answer by richwmiller(17219)

Question 881646: Solve the matrix equation AX=B for X using

A=2 -3 B=4
1 5 2
Click here to see answer by Fombitz(32388)

Question 881653: Graph y greater than or equal to 2x+3
Click here to see answer by Fombitz(32388)

Question 881652: Maximize z=4x+2y subject to x-y less than or equal to 10, 5x+3y less than or equal to 75, x+y less than or equal to 20, x greater than or equal to 0, y greater than or equal to 0
Click here to see answer by Fombitz(32388)

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