Tutors Answer Your Questions about Linear-systems (FREE)
Question 962127: Ten Thousand dollars was invested in Investment A and Investemnt B for one year. Investment A earned 7% and Investment B lost 3% during the year. The total earned by Investment A and Investment B was $575.
How much was Invested in each of Investment A and Investment B?
Please correct my work if I did anything not correct. my answer I try are:
let x represent invest at 7%
Let y represent invest at 3%
Total amount invested is: 575
A Linear system is:
1) x + y = 10000
2) 0.07x - 0.03y = 575
solve for equation 1 for x:
x+ y= 10000
x= 10000 - y
Sub x=1000 - y in equation 2
0.07x - 0.03y = 575
0.07 (10000 - y) - 0.03y = 575
700 - 0.1y = 575
-0.1y = -125
y= 1250
Sub y = 1250 in equation 1
x+ y= 10000
x + 1250 =10000
x = 8750
Click here to see answer by josmiceli(19441)   |
Question 962218: Write three linear systems that are equivalent to the linear system shown?
5x - 4y= -3
2x + 7y= 5
I usually solve the question first before I ask question to check But this time i'm stuck , and don't
understanding this. Please help me in detail. Thanks
Click here to see answer by MathLover1(20850)  |
Question 962387: How to use an elimination strategy to solve the linear system:
5/3x +1/4y = 10
1/3x + 1/2y = 5
ans:
(5/3x +1/4y = 10 ) * 12 --> 30x+3y=120
(1/3x + 1/2y = 5) * 6 --> 2x+3y=30
I never seem to get the answer right everything I check the solution. Plz help me correct it ??
Click here to see answer by MathLover1(20850) |
Question 962522: Your class sells a total of 64 tickets to a play. A student ticket costs $1, and an adult ticket costs $2.50. Your class collects $109 in total ticket sales. How many adult tickets did you sell? How many student tickets did you sell?
Click here to see answer by stanbon(75887) |
Question 962793: How to solve this linear system shown by using an elimination strategy:
5x - 4y= -3
2x + 7y= 5
I tries my best, please correct it if i did anything wrong:
(5x - 4y= -3) * 2
(2x + 7y= 5) * 5
= 10 - 8y= -6
=10x + 35y= 25
= -43y = -31
y= -31/43
y=0.7
5x - 4y= -3
5x - 4 (0.7)= -3
5x - 2.8= -3
5x=-0.2
x = -0.04
But when I try to verify , it wrong. help please?
Click here to see answer by MathLover1(20850) |
Question 962952: Hi, I hope you can help me here. The following is the problem I was given and honestly do not know how to do this. I need to show all steps and how I got the answer. Please help. It is due tomorrow (4/14/2015).
Thank you in advance.
Sandy
By judicious selection find a vector ur, such that S ∪ ur will form a basis
for R5
; Judicious means choose ur wisely and rearrangement of the resulting
set of vectors into the modal matrix should result in a matrix in Row Echelon
Form. This means, no elementary row operations will be required for part c)
and easier to determine part e);
Click here to see answer by rothauserc(4718)  |
Question 962952: Hi, I hope you can help me here. The following is the problem I was given and honestly do not know how to do this. I need to show all steps and how I got the answer. Please help. It is due tomorrow (4/14/2015).
Thank you in advance.
Sandy
By judicious selection find a vector ur, such that S ∪ ur will form a basis
for R5
; Judicious means choose ur wisely and rearrangement of the resulting
set of vectors into the modal matrix should result in a matrix in Row Echelon
Form. This means, no elementary row operations will be required for part c)
and easier to determine part e);
Click here to see answer by sanbadgerdude(1) |
Question 963137: solve this linear system using the method of substitution:
1/4x + 1/2y = -5/12
2x - y= -4/3
I try my best work , hope anyone can check and correct if I did it wrong. Thank you =)
step 1:
2x - y =-4/3
-y= -2x - 4/3
y= 2x + 4/3
Step 2:
1/4x + 1/2 (2x +4/3) = -5/12
1/4x + x +2/3= -5/12
5/4x = -5/12 - 2/3
5/4x = -13/12
x = -13/15
step 3:
2( -13/15) - y= -4/3
-26/15 - y = -4/3
-y = -4/3 +26/15
-y = -2/5
y= 2/5
Click here to see answer by josgarithmetic(39617) |
Question 963137: solve this linear system using the method of substitution:
1/4x + 1/2y = -5/12
2x - y= -4/3
I try my best work , hope anyone can check and correct if I did it wrong. Thank you =)
step 1:
2x - y =-4/3
-y= -2x - 4/3
y= 2x + 4/3
Step 2:
1/4x + 1/2 (2x +4/3) = -5/12
1/4x + x +2/3= -5/12
5/4x = -5/12 - 2/3
5/4x = -13/12
x = -13/15
step 3:
2( -13/15) - y= -4/3
-26/15 - y = -4/3
-y = -4/3 +26/15
-y = -2/5
y= 2/5
Click here to see answer by macston(5194)  |
Question 963257: An artist was commissioned to make a 500-g statue composed of 60% tin. She has 70% tin alloy and 30% tin alloy available .
What mass of each alloy is required to produce the desired alloy? Use an elimination method to solve this problem?
I tries my best , here is my solution. Please help my correct anything I did wrong. thank you kindly =)
x represent the mass of 70%
y represent the mass of 30%
first equation: x+y = 500
0.60 (500 g) =300g
second equation: 0.70x + 0.35y= 300
linear system is:
x+y = 500
0.70x + 0.35y= 300
(x+y = 500) * 0.70
0.70x + 0.70y= 350
subtract
0.70x + 0.35y= 300
0.70x + 0.70y= 350
- 0.35y= -50
y= 142
x+y= 500
x +142= 500
x= 358
Click here to see answer by Fombitz(32388)  |
Question 963581: A piggy bank contains pennies, nickels, dimes and quarters. Pennies weigh 2.5 grams each, nickels weigh 5.0 grams each, dimes weigh 2.3 grams each and quarters weigh 5.7 grams each. The piggy bank contains a total of 222 coins with a total weight of 714.6 grams and a total value of $14.61. Also, there are twice as many nickels as there are quarters. How many coins of each type are there?
We are allowed to use the matrix system on TI-84. My main prob is how to write an equation to show that "there are twice as many nickels as there are quarters."
Click here to see answer by Fombitz(32388) |
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