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

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Question 99248: derive the slope-intercept form of a linear equation from the slope formula using (o,b) as the coordinates of the point where the line crosses the y-axis and arbitrary point (x,y).
Click here to see answer by scott8148(6628)

Question 99299: Two boats traveling in the same direction leave a harbor at noon. After 3 hours they are 60 miles apart. If one boat travels twice as fast as the other,find the avarage rate of each boat.
Click here to see answer by edjones(7569)

Question 99532: Solve. 4(x + 9) = –4
Click here to see answer by rmromero(383)

Question 99569: I have not been able to figure out how to do the following problem.
x + 3y =2
x - 2y =-3
Click here to see answer by jim_thompson5910(28476)

Question 99659: easy calc - Express vector w as...?
i know this is supposed to be a really easy question but i can't get to the right answer!! i know you're supposed to find a/b by elimination then sub but i keep getting the wrong answer...
heres the question:
Given the vectors u = [2,1] and v= [-1,3]:
a) Express the vector w = [12, -1] as a linear combination of vector u and v.
ANSWER: 5u - 2v
can someone explain / show work of how to do this please!!!
PS. all the letters have the little vector sign on them, just dunno how to do it on the computer lol.

Click here to see answer by jim_thompson5910(28476)

Question 99685: bhagwanti inherited Rs.12000/-. she invested part of it as 10% and the rest at 12%. Her annual income from these investment is Rs.1280/- how much did she invest at each rate.
Click here to see answer by stanbon(57203)

Question 99687: the length of a room is two and half time its width. if the perimeter of the floor of the room is 70m find the length & width of the room.
Click here to see answer by doukungfoo(195)

Question 99686: meera mother is four times as old as meera. after 5 years her mother will be three times as old as she will be then what are their present age.
Click here to see answer by checkley71(8403)

Question 99684: a no. consist of two digits of which ten's diit exceed the unit's digit by 6 . the no. itself is equal to the ten times the sum of its digits. find the number.
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Question 99709: what are 3 consecutive integer whose sum is -54
Click here to see answer by Earlsdon(6287)

Question 99708: the difference of two positive no. is 72 & the quotient is obtained on dividing the one by the other is 4. find the no.
Click here to see answer by ankor@dixie-net.com(15622)

Question 99707: the sum of a certain even no. and the fourth even no. after it is 48. find the no.
Click here to see answer by edjones(7569)

Question 99706: the smaller of 2 no. is two-third of the greater if the sum is 120. find the no.
Click here to see answer by elima(1433)

Question 99705: i m thinking of 3 consecutive odd integer. the sum of the first and last of these integers is 26. what are the integers
Click here to see answer by elima(1433)

Question 99701: a number plus two third of itself plus one half of itself plus one seventh of itself equal 97. find the no.
Click here to see answer by ankor@dixie-net.com(15622)

Question 99703: find the no. whose fifth part increased by 5 is equal to its fourth part diminished by 5
Click here to see answer by ankor@dixie-net.com(15622)

Question 99704: three no. are in the ratio 3:4:5 if the sum of the largest and the smallest equal the sum of the third and 52, find the numbers.
Click here to see answer by edjones(7569)

Question 99810: The sum of two number is 40. Their difference is 8. Find the two numbers.
Click here to see answer by doukungfoo(195)

Question 99919: Solve the system.
x + 2y = 10
y = 2x

Click here to see answer by checkley71(8403)

Question 99918: Solve the system by addition.
5x – 4y = –5
x – 2y = –7

Click here to see answer by stanbon(57203)

Question 99917: Solve the system by addition.
3x + y = 6
3x – y = 0

Click here to see answer by aaaaaaaa(138)

Question 100015: the sum of the digit of a two digit no. is 15if the no. formed by reversing the digit is less than the original no. by 27.find the original no.

Click here to see answer by Nate(3500)

Question 100016: a no. consist of two digit whose sum is 9. if 9 is subtacted from the no.the digit interchange their places.find the no.
Click here to see answer by Nate(3500)

Question 100027: of the tree angles of a triangle the second is one-third the first and the third is 26 degree more than the first. how many degrees are there in each angle.
Click here to see answer by doukungfoo(195)

Question 100028: the length of a room is two and half times its width. if the perimeter of the floor of the room is 70 m. find the length & width of the room.
Click here to see answer by doukungfoo(195)

Question 100026: the distance between two stations is 340 km.two trains start simultaneously from these stations on parallel tracks to cross each other. the speed of one of them is greater than that of the other by 5 km/hr. if the distance between the two trains after 2 hours of their start is 30 km. find the speed of each train.
Click here to see answer by ptaylor(2048)

Question 100024: in a rational no. twice the numerator is 2 more than the denominator. if 3 is added to each, the numerator or the denominator, the new fraction is 2/3. find the original no.
Click here to see answer by ptaylor(2048)

Question 100064: the problem is
2x+3y=11
x-4y=0
I cannot figure out what to do with the x in the sescond equation.
Click here to see answer by scott8148(6628)

Question 100064: the problem is
2x+3y=11
x-4y=0
I cannot figure out what to do with the x in the sescond equation.
Click here to see answer by edjones(7569)

Question 100064: the problem is
2x+3y=11
x-4y=0
I cannot figure out what to do with the x in the sescond equation.
Click here to see answer by Adam(64)

Question 100132: what is: 1/2x +4 = 2/3
show steps
Click here to see answer by checkley71(8403)

Question 100152: i'm having sooo much trouble with this question, i practiced it at least 3 times and i still get it wrong.
Simplify and solve.
3(x+1)-4(y-1)=13
5(x+2)+2(y+3)=0
Click here to see answer by checkley71(8403)

Question 100168: 9/5c+32=f for c
i dont no the answer but when you answer this please explain to me how you got that particular answer.
Thank You!
Click here to see answer by scott8148(6628)

Question 100310: This is my question...
Answer the following information about this line: y = 2x-3
m=_______
b=_______
Find the x or y for the following points on the above line:
(0,__) , (___, 0) , (1,___0 , (____, 9)
I am clueless how to anwser this...HELP!!!!!!

Click here to see answer by stanbon(57203)

Question 100326: Can someone show me how this is done. I am lost
Six pears and three apples cost $3.90. Two pears and five apples cost $3.30. How much does one pear cost?
Write one equation for each situation and solve the system of equations.
Let p = the cost of one pear
Let a = the cost of one apple
a. Write a system of equations that can be used to determine the cost of pears and apples.
b. Determine the cost of one pear and one apple. Use mathematics to explain how you determined your answer.

Click here to see answer by checkley71(8403)

Question 100335: Use substitution to solve each system of equations.
a+b+c=6
3a-b+c=8
2b=c
Click here to see answer by checkley71(8403)

Question 100296: Could someone please take the time to help me solve the question: Solve the following system of two linear equations by elimination: 3x – 4y = 13 and
3y + 2 x = 3.
Thank you, I really appreciate your help.
Click here to see answer by ankor@dixie-net.com(15622)

Question 100490: Jon invested a total of $12,000 in stocks, bonds, and mutual funds. She Received a 10% return on her stock investment, an 8% return on her bond investment, and a 12% on her mutual fund. Her total return was $1,230. If the total investment in stocks and bonds equaled her mutual fund investment, then how did she invest in each?
Click here to see answer by ptaylor(2048)

Question 100541: I have made many attempts to answer this equation and cannot come up with the answer - please help. The problem is -2(x-b)-(5a-x)=a+b
Click here to see answer by stanbon(57203)

Question 100566: 9(x+3)=4x-3
Click here to see answer by tutorcecilia(2152)

Question 100622: Oh my god i need help desperately, I'm brutal at this!!Help!
A triangle is formed by the intersection of the lines 2x + 3y=14 , 4x - 5y=-16
a) Graph each line and find the area of the triangle
Click here to see answer by stanbon(57203)

Question 100722: what is the graphical form of this equation.
2x-y=3
x+2y=4
Click here to see answer by edjones(7569)

Question 100711: CAN 3 PLANES CAN INTERSECT IN A POINT
Click here to see answer by scott8148(6628)

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