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

Tutors Answer Your Questions about Linear-systems (FREE)

Question 175702: What is the system of equations 2r+2s=50 and 2r-s=17?
Click here to see answer by jim_thompson5910(35256)

Question 175770: At most 500 feet of fencing is available for a steer pasture(assuming it's a rectangle). Ther is only space for the pasture to be 100 feet wide.
a. Write a system of two linear inequalities that describe this situation.
y < or = 100, with y being the width
2y + 2x < or equal to 500, which became y < or equal to -x + 250
b. Graph the system to show all possible solutions.
Drew a horizontal line on graph at y-axis 100, and shaded below the line.
Wasn't sure what to do with 2nd equation in graphing, particularly the slope. Feeling really stupid about this. :) :( Thanks for any help possible!

Click here to see answer by josmiceli(19441)

Question 175894: The percentage of women in the 20�24 age
group who have never married went from 55% in 1970 to
73% in 2000 (Census Bureau, www.census.gov). Let 1970
be year 0 and 2000 be year 30.
a) Find and interpret the slope of the line through the
points (0, 55) and (30, 73).
b) Find the equation of the line in part (a).
c) What is the meaning of the y-intercept?
d) Use the equation to predict the percentage in 2010.
e) If this trend continues, then in what year will the
percentage of women in the 20�24 age group who have
never married reach 100%?
Click here to see answer by EMStelley(208)

Question 175915: Solve each system by the substitution method.
x+3y=2 and -x+y=1
Click here to see answer by jim_thompson5910(35256)

Question 175918: Solve the system by graphing; plotting on the graph
3x-5y=-9
5x-6y=-8
and
4x+5y=-2
4y-x=11
Click here to see answer by jim_thompson5910(35256)

Question 175920: Solve each system by addition
x-2y=-1
-x+5y=4
and
3x+5y=-11
x-2y=11
Click here to see answer by jim_thompson5910(35256)

Question 175923: Solve each system by the addition method. Determine whether the equations are independent, dependent, or inconsistent.
x-y=3
-6x+6y=17
Click here to see answer by jim_thompson5910(35256)

Question 175924: Solve each system by addition.
2x=2-y
3x+y=-1
Click here to see answer by EMStelley(208)

Question 175935: Solve each system by the addition method. Determine whether the equations are independent, dependent, or inconsistent.
x-y=3
-6x+6y=17
Click here to see answer by jim_thompson5910(35256)

Question 175938: x-y=-1
2x-3y=-5
Click here to see answer by jim_thompson5910(35256)

Question 175939: Graph these equations
4x+5y=-2
4y-x=11
Click here to see answer by stanbon(75887)

Question 175937: Solve each system by the addition method.
3x-2.5y=7.125
2.5x-3y=7.3125
Click here to see answer by stanbon(75887)

Question 175936: Solve each system by the addition method.
3/7x+5/9y=27
1/9x+2/7y=7
Click here to see answer by josmiceli(19441)

Question 175926: Solve the system by graphing; plotting on the graph
4x+5y=-2
4y-x=11
Click here to see answer by josmiceli(19441)

Question 175921: Solve each system by the addition method.
3/7x+5/9y=27
1/9x+2/7y=7
and
3x-2.5y=7.125
2.5x-3y=7.3125
Click here to see answer by Alan3354(69443)

Question 175971: Mario's age is two years more than twice Nadia's age. In nine years the sum of their ages will be 2/3 of his.
How do I solve???
Click here to see answer by josmiceli(19441)

Question 175893: Demand equation. Helen�s Health Foods usually sells
400 cans of ProPac Muscle Punch per week when the price
is $5 per can. After experimenting with prices for some
time, Helen has determined that the weekly demand can
be found by using the equation
d = 600 - 40p,
where d is the number of cans and p is the price per can.
a) Will Helen sell more or less Muscle Punch if she raises
her price from $5?
b) What happens to her sales every time she raises her
price by $1?
c) Graph the equation.
d) What is the maximum price that she can charge and
still sell at least one can?
Click here to see answer by ankor@dixie-net.com(22740)

Question 175986: I am sorry I need help with
Find the zeros of the function
f(x)= x^2 - 10x + 74
I typed it incorrect last time. I am sorry. Please help me.
Click here to see answer by stanbon(75887)

Question 175997: Find two numbers whose sum is 66 and whose difference is 12.
We will call the two numbers x and y
x=?
y=?

Click here to see answer by Alan3354(69443)

Question 175991: Find the values of x and y that solve the following system of equations.
-5x+3y=8
-9x+5y=14
Click here to see answer by tran3209(100)

Question 176001: Find two numbers whose sum is 47 and whose difference is 7.
We will call the two numbers x and y.)
x=?
y=?
Click here to see answer by Mathtut(3670)

Question 175994: Find the values of x and y that solve the following system of equations.
-7x+9y=-12
-6x+5y=6
Click here to see answer by tran3209(100)

Question 176008: Solve the system by substitution.
y=2x+4
y=-1/2x+3/2
Click here to see answer by checkley75(3666)

Question 176008: Solve the system by substitution.
y=2x+4
y=-1/2x+3/2
Click here to see answer by tran3209(100)

Question 176009: Solve the system by substitution.
y=2x-3
y=x-2
Click here to see answer by Mathtut(3670)

Question 176009: Solve the system by substitution.
y=2x-3
y=x-2
Click here to see answer by checkley75(3666)

Question 176004: Flying against the jetstream, a jet travels 2920km in 4 hours. Flying with the jetstream, the same jet travels 7630km in 7 hours. What is the speed of the jet in still air, and what is the speed of the jetstream?

Click here to see answer by Alan3354(69443)

Question 175999: In a family there are two cars. In a given week, the first car gets an average of 40 miles per gallon, and the second car gets 35 miles per gallon. The two cars combined drive a total of 1300 miles in that week, for a total gas consumption of 35 gallons. How many gallons were consumed by each of the two cars that week?

Click here to see answer by ankor@dixie-net.com(22740)

Question 176003: Two rainstorms occurred in one week in a certain area. The first storm lasted 30 hours, and the second storm lasted 20 hours, for a total 1700mL of rain. What was the rate of rainfall for each of the two storms if the sum of the two rates was 65mL per hour?

Click here to see answer by ankor@dixie-net.com(22740)

Question 176030: i've tried several different ways and can not seem to get this question of elimination,
5y-7x=29
2y+x=4
the x should equal -2 and y should equal 3
i know this because i used substitution earlier for this question,
Click here to see answer by jim_thompson5910(35256)

Question 176000: A motorboat travels 147km in 3 hours going upstream and 546km in 6 hours going downstream. What is the speed of the boat in still water, and what is the speed of the current?

Click here to see answer by ankor@dixie-net.com(22740)

Question 176036: can you help me. this is on a homework review shet i have and i cant figure it out.
graph the linear equations by makin a table.
a) y=x+y
b) y=4
if you can help me with this it would somewhat mean alot because im kind of confused thank you so much
Click here to see answer by Mathtut(3670)

Question 176039: 1/2x+3=5
Click here to see answer by Mathtut(3670)

Question 176034: { y=2x-3
{y-2x=7
why does this problem have no solution?
Click here to see answer by Mathtut(3670)

Question 176045: Problem:
{y=4/3x=3
{3=4x-3y
classify each system as consistent or inconsistent.If the system is consistent, determine whether it is dependent or independent.

What I've gotten:
y=4/3x+3
3-4x=-3y
and I don't know where to go from there. Do i simplify it more or do it classify it? Thanks much for your help!
Click here to see answer by Mathtut(3670)

Question 176055: help me please.
find the x- and y- intercepts of each linear function. then use the intercepts to graph the funciton.
a) y = -2 + 2x _____________________
b) x - 3y = -3 _______________________
Click here to see answer by Alan3354(69443)

Question 176114: gross profit / net sales = 38.5

net earnings / net sales = 7.6

net earnings / total assets = 9.4

question...is it possible to solve for net sales and/or net earnings with this information?
thank you.
Click here to see answer by Mathtut(3670)

Question 176137: sara drived off going west at a speed of 40 miles per hour.Now 2 hrs later, Jay decides to go after her and takes off at a speed of 90miles per hour. How long after Sara left will it be when Jay catches her?

Click here to see answer by stanbon(75887)

Question 176202: this is the substitution method. If y=x-4 and 2x-5y=2, what are x and y
Click here to see answer by Mathtut(3670)

Question 176200: write the equation of a line that passes through (10,0) and (0,9) in slope-intercept form...please answer my question, thankyou
Click here to see answer by Mathtut(3670)

Question 176200: write the equation of a line that passes through (10,0) and (0,9) in slope-intercept form...please answer my question, thankyou
Click here to see answer by solver91311(24713)

Question 176208: please help me with this question: write the equation of a line that is parallel to y = 2/3x - 2 and passes through (2,1)
Thankyou for the help
Click here to see answer by solver91311(24713)

Question 176217: Find the area of the graph of the system of linear inequalities.
Y is less than and equal to 10
Y is greater than and equal to 3/4X+2
Y is greater than and equal to -5/2x+15
Click here to see answer by stanbon(75887)

Question 176227: i couldnt figure out how to work this problem. im in 9th grade in algebra 1. what is

y=4x-8
y=2x+10

Click here to see answer by Alan3354(69443)

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