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Mathematics 9 Online
rootbeer003:

help

rootbeer003:

@satellite73

satellite73:

if you put \(x\) equal the hours, and \(y\) as the cost, then at the current rate the cost in terms of hours is \[y=4x+6\] at the increased rate it would be \[y=5x+10\]

rootbeer003:

mk

satellite73:

for 6 hours at the current rate it would cost \[y=4\times 6+6=24+6=60\] so \(\$30\) at the increased rate it would be \[y=5\times 6+10=30+10=40\] so \(\$40\)

rootbeer003:

ok

rootbeer003:

is that a and b

satellite73:

yes, A and B both parts

rootbeer003:

ok

satellite73:

C increase from \(\$30\) to \(\$40\) is \(\$10\) as a percent of the original cost \(10\div30=\frac{1}{3}=33\tfrac{1}{3}\%\)

satellite73:

that was C in case you were wondering

rootbeer003:

mhm

satellite73:

D if he paid \(\$42\) the original rate, you have \[4x+6=42\] subtract 6 get \[4x=36\] divide by 4 get \[x=9\] he rode for nine hours

satellite73:

that was D

rootbeer003:

Ok next?

rootbeer003:

http://prntscr.com/ekhqd4

satellite73:

\[3x+5y=-9\\ 2x+y=-34\] substitution might be easiest the second equation \(2x+y=-34\) is the same as \(y=-2x-34\) substitute that in the first equation for \(y\) get \[3x+5(-2x-34)=-9\]

satellite73:

to solve that, first distribute \[3x-10x-170=-9\] combine like terms get \[-7x-170=-9\] add \(170\) get \(-7x=161\) divide by \(-7\) get \(x=-23\)

satellite73:

then substitute \(x=-23\) in either of the original equations, for example in \[y=-2x-34\] get \[y=-2\times 23-34=12\] so the solution is \[x=-23,y=12\] or as an ordered pair \[(-23,12)\]

rootbeer003:

ok

satellite73:

typo there, should be \[y=-2\times (-23)-34=12\]

rootbeer003:

http://prntscr.com/ekhtfi

satellite73:

i hope you have some part before that, like how you got the \(x=-23\)

rootbeer003:

http://prntscr.com/ekhts8

rootbeer003:

lol

rootbeer003:

looks good?

satellite73:

yes, looks excellent, since i wrote it

rootbeer003:

ya

rootbeer003:

ok graph now?

rootbeer003:

what shall i do

satellite73:

graph it, i can't do it for you you have two lines to graph you have to do it. i can help, hold on one second i have to answer an email

rootbeer003:

can i use desmo graph

rootbeer003:

or u can tell me what it suposed to look like

satellite73:

you can use desmos

satellite73:

the two lines will intersect at \((-23,12)\)

rootbeer003:

okie dokie

rootbeer003:

wait what do i type into desmo

satellite73:

i don't know, i never use it

rootbeer003:

ok then on wolf

satellite73:

i did it, it worked fine

satellite73:

in demsos type in \[3x+5y=-9\] on the upper left, then go to the next box down and type in \[2x+y=-34\]

rootbeer003:

mine should look exaclty like dat

satellite73:

scroll in so that it goes from -36 to 36 like your graph paper make sure they intersect at the point \((-23,12)\) yes, it should look like dat

rootbeer003:

ok while i do that http://prntscr.com/ekhxb6

rootbeer003:

http://prntscr.com/ekhxxt

rootbeer003:

dont have to be perf

satellite73:

put \(x\) as the amount of money at the movie theater , and \(y\) as the amount of money at the pet store then the first equation is \[10x+8y=152.50\] and the second is \[8x+12y=171\]

rootbeer003:

how does my graph look

satellite73:

ugly the lines are supposed to be straight

rootbeer003:

no one perfect

satellite73:

no, that is for sure

rootbeer003:

lol but they are OKAY?

satellite73:

yes good enuf

rootbeer003:

ok is that all for the 2nd one?

satellite73:

yes

rootbeer003:

http://prntscr.com/ekhz06

satellite73:

hold the phone

satellite73:

we are not done with the pet store

rootbeer003:

o okkkkk

rootbeer003:

well i asked

satellite73:

\[10x+12y=152.50\\ 8x+12y=171\] we need so solve

satellite73:

typo \[10x+8y=152.50\\ 8x+12y=171\]

satellite73:

multiply the first equation by \(-3\) and the second equation by (2\) and you get \[-30x-24y=-457.50\\ 16x+24y=242\]

rootbeer003:

I hope there arnt from yahoo answers. i could get in trouble

satellite73:

i think i made a mistake somewhere

rootbeer003:

ARE they?

satellite73:

are they what?

rootbeer003:

Are these answers of yahoo answers?

rootbeer003:

off

satellite73:

lol hell no here solve \[10x+8y=152.50\\ 8x+12y=171\] you get \[x=8.25, y=8. 75\] so \(\$8.25\) at the movies, \(\$8.75\) at the pet store

satellite73:

don't ask how to solve it, i used wolfram next...

rootbeer003:

http://prntscr.com/eki1i3

satellite73:

make a new thread

rootbeer003:

is that it for this one?

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