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

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Question 12853: Hi Tutors:
Please show me how to solve this system of equations using the substitution method:
t=4-2s
t+2s=6
SAN ANTONIO truly appreciates help with Maths

Click here to see answer by longjonsilver(2297) About Me 

Question 12967: Would someone please help me understand this?:
-2(z-4)-(3z-2)=-2-(6z-2)
-2z+8-3z+2=12z+4 (this is where I get confused-do I add -2z and -3z?)
-5z+10=12z+4?
+5z +5z
10=7z+4
-4 -4
6=7z?
divide both by 6?
Any help is appreciated-thank you

Click here to see answer by Earlsdon(6294) About Me 

Question 12985: Hello:
I really need your help. I have tried all possible ways to solve this equation but I am confused on how to start to solve it. Here is the question:
Find the point of intersection of the given straight lines.
x - 4y = -2
x + 2y = 4
Please help me with this problem. Thank you.

Click here to see answer by rapaljer(4671) About Me 
Question 12985: Hello:
I really need your help. I have tried all possible ways to solve this equation but I am confused on how to start to solve it. Here is the question:
Find the point of intersection of the given straight lines.
x - 4y = -2
x + 2y = 4
Please help me with this problem. Thank you.

Click here to see answer by sabanasir(22) About Me 

Question 12984: x + 3( x + 1 )= 2x
Click here to see answer by pwac(253) About Me 

Question 13011: Help! Now that horrid instructor (just kidding) is using letters like they were numbers:
Ax+By=C, solve for y
So I tried this:
I gotta isolate y
Ax+By is multiplication so I have to divide?
Ax+B divided by y?=C divided by y
Nope-wait it's Ax+By-y=C-y
then divide both sids by Ax? I'm going crazy-can someone help? Thank you and sorry for the trouble

Click here to see answer by Earlsdon(6294) About Me 

Question 12989: Hello Again:
Thanks for your help. I appreciate it. Here is another equation that I need help on. I am trying hard to get to the root of the answer. Please help me.
Solve the systems of linear equation:
5x - 2y = 1
2x = y + -4
Please show me how to do this. I keep getting stuck. I tried the substitution method. Thank you again.

Click here to see answer by pwac(253) About Me 

Question 13006: I am an older student in math 27 (if that means anything) and I am failing the class. I have a lot of trouble with orders of operations and especially linear stuff (that was intelligent) I mean I don't know how to do something like this:
4(x+2)+1=7x-3(x-2) let me try;
4x+2+1=7x-3x-2 or is it +2? Wait, it's times the 3 right?
so it's 4x+3=7x-3x+6? now this is where I get stuck-the 4x and the 7x-what is telling me what to do with them?
Let me try again:
4(x+2)+1=7x-3(x-2) dist prop next-
4x+8+1 (can we say 9 here)=7x-3x+6 because the -3 is dist into the ()?
4x+9=4x+6? Not that I need yet another view because everyone has different approaches, but i don't know what else to do. There has got to be a way to understand this. It's so confusing-especially negative numbers-like -5 is less than -4? (I think) The larger the neg number, the smaller throws me. Anyone willing to make suggestions would be very appreciated. thank you (I feel really stupid-all the kids in the class get it real quick!)

Click here to see answer by Earlsdon(6294) About Me 
Question 13006: I am an older student in math 27 (if that means anything) and I am failing the class. I have a lot of trouble with orders of operations and especially linear stuff (that was intelligent) I mean I don't know how to do something like this:
4(x+2)+1=7x-3(x-2) let me try;
4x+2+1=7x-3x-2 or is it +2? Wait, it's times the 3 right?
so it's 4x+3=7x-3x+6? now this is where I get stuck-the 4x and the 7x-what is telling me what to do with them?
Let me try again:
4(x+2)+1=7x-3(x-2) dist prop next-
4x+8+1 (can we say 9 here)=7x-3x+6 because the -3 is dist into the ()?
4x+9=4x+6? Not that I need yet another view because everyone has different approaches, but i don't know what else to do. There has got to be a way to understand this. It's so confusing-especially negative numbers-like -5 is less than -4? (I think) The larger the neg number, the smaller throws me. Anyone willing to make suggestions would be very appreciated. thank you (I feel really stupid-all the kids in the class get it real quick!)

Click here to see answer by tayjay(2) About Me 
Question 13006: I am an older student in math 27 (if that means anything) and I am failing the class. I have a lot of trouble with orders of operations and especially linear stuff (that was intelligent) I mean I don't know how to do something like this:
4(x+2)+1=7x-3(x-2) let me try;
4x+2+1=7x-3x-2 or is it +2? Wait, it's times the 3 right?
so it's 4x+3=7x-3x+6? now this is where I get stuck-the 4x and the 7x-what is telling me what to do with them?
Let me try again:
4(x+2)+1=7x-3(x-2) dist prop next-
4x+8+1 (can we say 9 here)=7x-3x+6 because the -3 is dist into the ()?
4x+9=4x+6? Not that I need yet another view because everyone has different approaches, but i don't know what else to do. There has got to be a way to understand this. It's so confusing-especially negative numbers-like -5 is less than -4? (I think) The larger the neg number, the smaller throws me. Anyone willing to make suggestions would be very appreciated. thank you (I feel really stupid-all the kids in the class get it real quick!)

Click here to see answer by pwac(253) About Me 

Question 13033: What Does t equal in 8t-r=12t
Click here to see answer by pwac(253) About Me 

Question 13062: 0+-2=-2
-2+-3=-5

Click here to see answer by Ponder(3) About Me 

Question 13150: Graph the function f(x)= x+1 if the domain is only negative integers?
Click here to see answer by glabow(165) About Me 

Question 13258: How do you solve an equation and leava it in standard form?
Ex. parallel to 3x+5y=8,when passing through (-1,7)?

Click here to see answer by bam878s(77) About Me 

Question 13267: How do you solve an equation and leava it in standard form?
Ex. parallel to 3x+5y=8,when passing through (-1,7)? CAN ANYONE HELP ME RIGHT NOW?

Click here to see answer by rahman(247) About Me 

Question 13338: Graph the equation. y=(-4x)+5
Click here to see answer by rapaljer(4671) About Me 

Question 13366: Can you please help with this eqaution?
Here what I've tried so far.
2 [k-3(4-2k)] = 2(k-3) + 3
2[k-3-4+2k]=2k-6+3
2k-6-8+4k=2k-6+3
6k-14=2k-3
6k-6k-14=2k-6k-3
14+3=-4k-3-14
17=-4k

Click here to see answer by rapaljer(4671) About Me 

Question 13377: I’m very confused about solving this problem and its supposed to be solved using substitution. The linear system solve it for me but I need the steps. Thanks
10x+8y=5
8x+6y=3

Click here to see answer by akmb1215(68) About Me 

Question 12873: what is 8s+9=7s-21
Click here to see answer by hyh_123(8) About Me 

Question 13482: Algebraically show whether the point M(2,-3) is on the line defined by
3x - 6y + 1 = 0
Can i please get some help with this question?

Click here to see answer by Earlsdon(6294) About Me 

Question 13480: Determine the slope of a line that is perpendicular to the line defined by,
3x + 4y - 6 = 0

Click here to see answer by Earlsdon(6294) About Me 

Question 13510: 3- absolute value of 2x+4 greater than or equal to 1
Click here to see answer by rahman(247) About Me 

Question 13577: x + y = -6
11x - y = 42
Many solutions or no solutions?

Click here to see answer by ntnk(54) About Me 

Question 13566: What is the process for solving 6z+3=8z+5
Click here to see answer by rahman(247) About Me 

Question 13544: im not quit sure what cat. this question would go under so i tried to find the closes one...i apologize if it is off topic...
a 40 ft. board is to be cut into two peices. The LONGER PIECE is to be 7 feet longer than twice the SHORTER peice. How long is each peice?
let x= shorter peice
___=the longer peice
equation:

Click here to see answer by LilSkittleMd(119) About Me 

Question 13536: Hi Tutors:
I am working on systems of equations in three variables. I worked up to the point where I solved for Y. I found Y to be -45/119 . I would like some help because working with these kinds of fractions make me real nervous. Please help me? Here is the problem. 2x+y+2z=11 3x+2y+2z=8 x+4y+3z=0 Thank you SAN ANTONIO

Click here to see answer by LilSkittleMd(119) About Me 

Question 13638: x+(x-10)+1/2x=180
to solve this problem we will use simple algebra
that is
x+x-10+1/2x=180
2x+1/2x=180+10
taking lcm
(2x(2x)+1)/2x=190
(4x^2+1)/2x=190
by cross mutiplication
4x^2+1=190*2x
4x^2+1=380x
4x^2-380x+1=0
now we can do it either by qudratic formula
or completing square method

Click here to see answer by baigshahib(11) About Me 

Question 13795: Could you show me all workings to solve this equation:
y/3+3=12-2y
solution
we will bring the variables on one side
that is
y/3+2y=12-3
we will now take lcm
(y+2y(3))/3=9
(y+6y)/3=9
7y=9*3 (by multiplying 3 on both sides of the equation)
7y=27
y=27/7 answer

Click here to see answer by baigshahib(11) About Me 

Question 13772: I just can't figure this out no matter how I try. I am to find an intersection point(if there is one) and graph, shading the appropriate areas.
y>=-1/2x + 1 and 2x-3y>=3. I need to know a step by step solution. I don't know what they are asking for. This is confusing to me. Any help would be appreciated.

Click here to see answer by longjonsilver(2297) About Me 

Question 13727: How do you write in standard form the equation of the following:
slope = 3;(1,5)
and
slope 5/6; (22,12)

Click here to see answer by longjonsilver(2297) About Me 

Question 13347: When would you want to use the slope-intercept versus the point-slope form of a line?
Click here to see answer by LilSkittleMd(119) About Me 

Question 13895: HOW DO I DO THIS PROBLEM 9X-6=3X?
Click here to see answer by ginny(3) About Me 

Question 13893: hi, i an usually good with systems but this one is giving me trouble and i have a test tomorrow and could really use some help!
3x+2y=12
-4x+5z=12
y-4z=-13
thanx!!!

Click here to see answer by Earlsdon(6294) About Me 

Question 13955: I need some help on solving this problem: The vertical blue stripe in the bristles of the toothbrush wears down linearly to half its original length in 90 days of regular use. After the toothebrush has been used regularly for 2 weeks and 4 days, what fractional part of this blue stripe still remains??
The choices are A) 1/10 B) 1/5 C)2/5 D)3/4 E)9/10
I need some help with this...thank you...its greatly appreciated!

Click here to see answer by rapaljer(4671) About Me 

Question 14058: 5(w+3)+9=3(w-2)+6 this is the problem for my son's homework and I can not remember the formula for solving this type of equation? Can you help?
Click here to see answer by bam878s(77) About Me 

Question 14107: Could you show me the steps to solving this problem.
5ax+2b=ax-b

Click here to see answer by rahman(247) About Me 

Question 14139: Hi Tutors:
I have been working on this system in three for a few days. Please show me to solve with elimination:
4x-3y+z=16
x+2y-z=-3
3x+y+2z=1
Thanks!

Click here to see answer by longjonsilver(2297) About Me 

Question 14163: okay...i recently had a test and on this test it stated 8 more than 3 times a number is 62 find the numbers
let x =the number
equation____________________
solve
i tired to do it my self and like always...my answer was wrong...
i came up with the answer 18.4

Click here to see answer by elima(1433) About Me 

Question 14183: What is the ordered pair that is the solution to the system of equations:

y = -2/3x
x + 4y = 15

Click here to see answer by Alwayscheerful(414) About Me 

Question 14434: 3[3-3(x+1)]+1=2(-14-x)+2x+14
Click here to see answer by atif.muhammad(135) About Me 

Question 14529: I have a with Using Eqautions to Solve Porblems. Here is an example:
The sum of 38 and twice a number is 124. Find the number.
How do you write an equation for that??

Click here to see answer by elima(1433) About Me 

Question 14575: Hi Tutors:
I have working on this problem for some time but I am still having a hard time working this one:
I am suppose to solve this system using elimination method
10x+6y+z=7 (1)
5x-9y-2z=3 (2)
15x-12y+2z=-5 (3)
20x-21y=-2 (4)
Please show me how to work this problem from this point.
Thank you

Click here to see answer by venugopalramana(3286) About Me 

Question 14972: Hi I need help with a couple of problems. I need to solve these system of equations by graphing and I don't know how. The problem is x+y=5
2y=x-2
that is the same problem. I just need to know how to show the steps to solve it and graph it.

Click here to see answer by jb007mi6(53) About Me 

Question 15086: 4. Determine the point of intersection.
a) y=4x+6 and y=-x+1
b) 2x+5y=10 and x=10

Click here to see answer by bam878s(77) About Me 

Question 15084: i dont understand these guestions..can i please get some help
2. a) David works part-time for a bike repair shop. He earns $1 for each tire he installs and $4 for each gear mechanism he assembles. If he did a total of 50 insatallations and assemblies and earned $92, how many tires did he install?
b) A car rental angency rents cars under two plans:
Plan 1: $55 per day and $0.10/km
Plan 2: $40 per day and $0.25/km
Determine when both plans will result in the same charge for a one-day rental.

Click here to see answer by bam878s(77) About Me 

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515