Meg is 6 years older than Victor. Meg's age is 2 years less than five times Victor's age. The equations below model the relationship between Meg's age (m) and Victor's age (v):
m = v + 6
m = 5v − 2
Which is a possible correct method to find Meg's and Victor's ages?
a. Solve m + 6 = 5m − 2 to find the value of m.
b. Write the points where the graphs of the equations intersect the x axis.
c. Solve v + 6 = 5v − 2 to find the value of v.
d. Write the points where the graphs of the equations intersect the y axis.
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OpenStudy (anonymous):
i had that question!!
OpenStudy (anonymous):
You did?
OpenStudy (anonymous):
yea
OpenStudy (anonymous):
Can you help me?
OpenStudy (anonymous):
sure hold on
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OpenStudy (anonymous):
Ok. Thanks so much.
OpenStudy (anonymous):
Are you still there?
OpenStudy (anonymous):
yeah
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
b
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OpenStudy (anonymous):
B is the answer
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
Can you explain why for me? I would like to understand
OpenStudy (anonymous):
hi jhonyy9
OpenStudy (anonymous):
sure
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OpenStudy (anonymous):
thanks
OpenStudy (anonymous):
did you do flvs when you had this question?
OpenStudy (anonymous):
what does fvl means?
OpenStudy (anonymous):
florida virtual school
OpenStudy (anonymous):
yes except that i am in pensylvania
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OpenStudy (anonymous):
lol ok
OpenStudy (anonymous):
and the answer is actually C
jhonyy9 (jhonyy9):
what result you will get for v and m ?
OpenStudy (anonymous):
ok. May you explain please?
OpenStudy (anonymous):
I don't understand the question. That's why I found this website and so yeah.
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OpenStudy (anonymous):
cause if we know victors age it would be easy to find megs
jhonyy9 (jhonyy9):
@jerey45 above you have said B. - why ?
OpenStudy (anonymous):
ok. but the problem is kind of confusing because the part that says "Meg's age is 2 years less than five times Victor's age." is what I mostly don't understand
OpenStudy (anonymous):
you guys. I need like an actual explanation, not to be rude @jerey45 but I want to understand why the answer would be c. Also how would i solve those equations?
OpenStudy (anonymous):
anybody still there?
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jhonyy9 (jhonyy9):
try to solve C. for v - ok. ?
OpenStudy (anonymous):
ok.
OpenStudy (anonymous):
so you want me to solve v?
jhonyy9 (jhonyy9):
yes
OpenStudy (anonymous):
ok.
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OpenStudy (anonymous):
I think 2?
jhonyy9 (jhonyy9):
right so than you know that v=2 and you know again that m=v+6 so than m= ?
OpenStudy (anonymous):
let me solve it really quick.
OpenStudy (anonymous):
m=8?
OpenStudy (anonymous):
yup
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jhonyy9 (jhonyy9):
yes sure so than v=2 and m=8
OpenStudy (anonymous):
ok.
OpenStudy (anonymous):
thank you so much guys. I figured out how to medal and i will medal you guys
jhonyy9 (jhonyy9):
@SenpaiMax do you understand it now ?
OpenStudy (anonymous):
yes
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OpenStudy (anonymous):
i will fan and medal :D
OpenStudy (anonymous):
I fan you @jerey45 i didn't know that you can only do one best response. can you help me with another question?
OpenStudy (anonymous):
yeah i'll do my best
OpenStudy (anonymous):
ok thxs
OpenStudy (anonymous):
sure
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OpenStudy (anonymous):
A pair of equations is shown below:
y = 8x − 9
y = 4x − 1
Part A: Explain how you will solve the pair of equations by substitution or elimination. Show all the steps and write the solution. (5 points)
Part B: If the two equations are graphed, at what point will the lines representing the two equations intersect? Explain your answer. (5 points)
OpenStudy (anonymous):
ummm..... let me think one minute
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
I mostly want to know how to solve those equations
jhonyy9 (jhonyy9):
@SenpaiMax so do you know what mean substitution or elimination method ?
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OpenStudy (anonymous):
no
OpenStudy (anonymous):
May you explain what that is?
jhonyy9 (jhonyy9):
y=8x-9
y=4x-1
- substitution method is when the value of y from first equation so in this case you will substitute in place of y inside second equation and will calculi easy the value of x - ok ?
OpenStudy (anonymous):
it is like replacing something
OpenStudy (anonymous):
ok. I kind of get it
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jhonyy9 (jhonyy9):
- elimination method so for eliminate adding same terms of these equations you need multiplie first or second by -1 and assume the same terms so one will be eliminated and solve for second
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
what do I do then?
jhonyy9 (jhonyy9):
what method you wan us here now ?
OpenStudy (anonymous):
maybe substituion?
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jhonyy9 (jhonyy9):
ok. so than replace the first value of y in place of y inside second equation and calculi x
OpenStudy (anonymous):
what do you mean by that?
OpenStudy (anonymous):
can you give me an example please?
jhonyy9 (jhonyy9):
so there is
y = kkkkk
y = pppp
so just replace kkkkk in place of y inside second equation - how you make it ?
jhonyy9 (jhonyy9):
so will be
kkkkk= pppp
yes ?
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OpenStudy (anonymous):
oh ok. i understand. so for my question, what would i do. Do i just put 8x - 9 = 4x -1?
OpenStudy (anonymous):
is that it?
jhonyy9 (jhonyy9):
yes - sure - this is easy
OpenStudy (anonymous):
Ok. Thanks. so i how would i show my work. this math is a bit confusing to em
jhonyy9 (jhonyy9):
wait --- so than calculi the value of x
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OpenStudy (anonymous):
what do you mean by calculi?
jhonyy9 (jhonyy9):
8x-9 = 4x-1
8x-4x= -1+9
can you continue ?
OpenStudy (anonymous):
how did you do that?
jhonyy9 (jhonyy9):
(8-4)x = 9-1
OpenStudy (anonymous):
so it would be 4x = 8?
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jhonyy9 (jhonyy9):
yes and divide both sides by 4 and what will get for x= ?
OpenStudy (anonymous):
so pretty much what you did was group the variable x with the other one? and x=2?
jhonyy9 (jhonyy9):
yes sure x=2 is right
so now you need calculi y=?
OpenStudy (anonymous):
how would you do that?
OpenStudy (anonymous):
i know how to solve for the x now, but y?
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jhonyy9 (jhonyy9):
y=4x-1 but you know that x=2 so than
y= 4*2 -1 = ?
OpenStudy (anonymous):
oh ok. y =7?
jhonyy9 (jhonyy9):
yes and finish
OpenStudy (anonymous):
ok. thanks. what about part b?
jhonyy9 (jhonyy9):
do you understand it now how solve same system ?
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OpenStudy (anonymous):
i understand this now and about substitute and elimination
OpenStudy (anonymous):
i get the graphing now. (x,y) would be (2,7)?
OpenStudy (anonymous):
right?
jhonyy9 (jhonyy9):
yes - right ,this is the answer to part b.
OpenStudy (anonymous):
ok. thanks so much @jhonyy9
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