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

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Question 295702: Please translate the problem into a pair of linear equations in two vaiables. Solve the equations using either elimination or substitution and state the answer for both variables.
The difference of two numbers is 88. The second number is 20% of the first number. What are the numbers?
Thank you!

Click here to see answer by Fombitz(32388)

Question 295732: what is the slope of the line y=9?
Click here to see answer by PRMath(133)

Question 295760: Solve (2x - 1)^2 = 20 Show every step
Click here to see answer by JBarnum(2146)

Question 295800: 5z-2y=-1
Y intercept is -1 x is the rise is 2 and the run is 1 so go up 2 and ove 1 and you will reach the x axis. do same for line 2

Click here to see answer by richwmiller(17219)

Question 295800: 5z-2y=-1
Y intercept is -1 x is the rise is 2 and the run is 1 so go up 2 and ove 1 and you will reach the x axis. do same for line 2

Click here to see answer by miller95(1)

Question 295807: Given the pair of linear equations in two variables:
Find the x- and y-intercepts (if any) for each line.
Plot those intercepts, and graph the two lines on the same chart.
Apply elimination or substitution to find the coordinates of the point of intersection (if there are no solutions or infinite solutions, state this).

x + 9y = 79
-7x + 9y = 23
Please and Thank you

Click here to see answer by richwmiller(17219)

Question 295804: Please translate the problem into a pair of linear equations in two vaiables. Solve the equations using either elimination or substitution. State your answer for the specified variable.
A contractor mixes concrete from bags of pre-mix for small jobs. How many bags with 7% cement should he mix with 10 bags of 15.5% cement to produce a mix containing 12% cement? (Please help) Thanks!!

Click here to see answer by richwmiller(17219)

Question 295937: The question is.... 1/2x + 6 = 3 + 2x.... I know the answer is 2... but I need a visual step by step answer so that I can understand where the 2 came from.. I'm confused.. pleaseee help me.... sstep by step...
Click here to see answer by jojo14344(1513)

Question 295936: The question is.... 1/2 x + 6 = 2 + 2x..... I know the answer is 2... but please give it to me step by step ..... I would like it very visual so I can see where is the 2 coming from..
Click here to see answer by jojo14344(1513)

Question 296136: Find any x-intercepts and the y-intercepts. If no x-intercepts exist, state this.

g(x)=x^2-6x+9
Click here to see answer by persian52(161)

Question 296145: The difference between two numbers is 8. If 3 times the larger number is equal to 4 times the smaller number, find both numbers.
Click here to see answer by Deina(147)

Question 296118: Best Rentals charges a daily fee plus a mileage fee for renting its cars. Barney was charged $135.00 for 3 days and 300 miles, while Mary was charged $250.00 for 5 days and 600 miles. What does Best Rentals charge per day and per mile?
Click here to see answer by mananth(16946)

Question 296238: Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.
7x + 9y = -27
-2x - 7y= 21
Click here to see answer by richwmiller(17219)

Question 296272: what is the solution to 7/2x+7/3y=42 , 1/4x+1/3y=4
Click here to see answer by richwmiller(17219)

Question 296496: Translate the problem into a pair of linear equations in two variables. Solve the equations using either elimination or substitution. State your answer for both variables.

The perimeter of a rectangle is 48 cm. The length is 12 cm longer than the width. Find the dimensions.
Click here to see answer by richwmiller(17219)

Question 296499: 7x + 9y = -27
-2x - 7y = 21
Solve using either elim. or sub.
Click here to see answer by mananth(16946)

Question 296507: 3x + y - Z=20
x + y +7z=24
i cant figure it out
Click here to see answer by richwmiller(17219)

Question 296767: Find the area of a triangle whose vertices have coordinates (0,9),(0,-4),(5,-4).
I know to find the area of a triangel you use A= 1/2*b*h but how do you find out the base and hight?
Click here to see answer by richwmiller(17219)

Question 297205: What is the X and Y of the equation 5x+y=9 10x-7y=-18 by doing elimination?
Click here to see answer by faceoff57(108)

Question 297316: Suppose you have 60� and a 2 cm by 3 cm picture of a building that you want to enlarge as much as possible. Copies on a photocopy machine cost 10� and the machine can enlarge any image put through it to 120% of its original size. How large a picture of the building can you obtain? Thanks.
Click here to see answer by Fombitz(32388)

Question 297422: 2x + 4y = 8
Click here to see answer by checkley77(12844)

Question 297543: The value, v, of a shopkeepeer's inventory software program is given by v= 1/2 t + 5, where t is the number of year's since the shoekeeper bought the program. What is the program worth 6 years after it is first purchased? Plot the point with the given t- value, 6.
Click here to see answer by richwmiller(17219)

Question 297490: Solve the system of equations.
x+y+z=2

Click here to see answer by richwmiller(17219)

Question 297631: solve this system for x and y
(x+2/2)-(y-4/3)=4
(x+y/2)=(1/2)+(x-y/3)
Click here to see answer by stanbon(75887)

Question 297631: solve this system for x and y
(x+2/2)-(y-4/3)=4
(x+y/2)=(1/2)+(x-y/3)
Click here to see answer by richwmiller(17219)

Question 297604: solve each system by graphing.
3x+2y=-6
x+3y=-2
Click here to see answer by Fombitz(32388)

Question 297620: x-y=2
5x+3y=18

Click here to see answer by Fombitz(32388)

Question 297761: x=-10+y -7x-3y=20
Click here to see answer by user_dude2008(1862)

Question 297834: Solve each system by substitution. Determine whether the equations are independent, dependent, or inconsistent.
2x-y=4
2x-y=3
Click here to see answer by Alan3354(69443)

Question 297822: translate the problem into a pair of linear equations in two variables. Solve the equations using either elimination or substitution. State your answer for the specified variable.
A sum of money amounting to $3.80 consists of dimes and quarters. If there are 20 coins in all, how many are quarters?
Click here to see answer by blwinbbbles(106)

Question 297844: Solve and determine whether the equations are independent, inconsistent, or dependent:
x+3y=2
-x+y=1
Click here to see answer by Fombitz(32388)

Question 297817: Solve each system by substitution. Determine whether the equations are independent, dependent, or inconsistent.
y = x + 4
3y - 5x = 6

Click here to see answer by Fombitz(32388)

Question 298206: Write the linear equation in slope intercept form: -8y=-x+4
Click here to see answer by richwmiller(17219)

Question 298178: i need your help on writeing the equation in standard form with interger coefficients. please, i have a test tomorrow
Click here to see answer by richwmiller(17219)

Question 298220: the following system of equations is a dependent system.
4x + 5y = 10
8x + 10y = 20
what is the correct way to write the solution?
a) 0
b) all numbers
c) 4x + 5y = 10
d) (0,4)

Click here to see answer by stanbon(75887)

Question 298223: the following system of equations is a dependent system.
x - 6y = 8
5x - 30y = 40

what is the correct way to write the solution?
a) no solution
b) x - 6y = 8
c) 0
d) all numbers

Click here to see answer by Fombitz(32388)

Question 298313: I am trying to solve this problem and would appreciate some help:
An apparel shop sells skirts for $45 and blouses for $35 The entire stock is worth $51, 750.. Half the skirts and two thirds of the blouses are sold totaling $30,600. How many skirts and blouses are left in the store.

I have tried to formulate the equations. The text example uses multiplication to get the y correspondent to zero out when the two equations are added, but I can't get the right combo..............the answers are 260 skirts, 270 blouses

this is part of my attempts

45x+35y=51,750
.50(45x)+.66(35y)=30,600

22.5x+23.33y=30,600

Click here to see answer by richwmiller(17219)

Question 298597: Write a system of two equations in two solutions for each problem. Solve each system by substitution.
Jay Lenos's garage. Jay Leno's collection of cars and motorcycles totals 187. When he checks the air in the tires he has 588 tires to check. How many cars and how many motorcycles does he own? Assume that the cars all have four tires and the motorcyles have two.
Click here to see answer by stanbon(75887)

Question 298760: Need help in solving this equation by addition
2y + z = 4
x -3y + 2z =9
-y =3
Click here to see answer by Alan3354(69443)

Question 298763: Using the Gauss-Jordan elimination method, solve the following linear system.
You can use a calculator or Excel Minverse, Mmult to get your answer
- 10 x + 14 y + 3 z = 74
+ x + 17 y + 9 z = 85
- 13 x - 8 y + 3 z = 14

Click here to see answer by Edwin McCravy(20056)

Question 298812: Write a system of two equations in two unknowns.
Spike averaged 45 mph driving from Rochester to Syracuse and 49 mph driving from Syracuse to Albany. If he drove a total of 237 miles in 5 hours, then how far is it from Syracuse to Albany?
Click here to see answer by Stitch(470)

Question 298851: between them, kristen and brad have 68 cousins. brad has 10 more cousins than kristen. how many cousins does kristen have?
a) 42
b) 29
c) 34
d) 39
Click here to see answer by user_dude2008(1862)

Question 298853: two number have a sum equal to 50. their difference is 16. to figure out what the numbers are, you mustfirst identify the variables. what are the variables in this problem?
a) the sum and difference of the numbers
b) the 2 numbers
c) the difference of two numbers is 16
d) the numbers sum to 50
Click here to see answer by user_dude2008(1862)

Question 298859: Sara and her sister Emily both collect charms for their charm bracelets. Together, they have 42 charms. Emily has 2 more charms than Sara. To figure out what the number of charms each girl has, you must first identify the variables. What are the variables in the problem?
a)Emily has a more charms than Sara; how many charms Sara has
b)together they have 42 charms; Emily has 2 more charms than Sara
c)together they have 42 charms; how many charms Emily has
d)how many charms Emily has; how many charms Sara has
Click here to see answer by user_dude2008(1862)

Question 298834: In the problem 3x+4y=6 5x+2y=-4 how do you know that you need to multiply by -2?

Click here to see answer by TX911(36)

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