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Mathematics 15 Online
OpenStudy (song_of_the_sole):

help please

OpenStudy (song_of_the_sole):

solve the system by substitution

OpenStudy (song_of_the_sole):

-4.5x-2y=-12.5 3.25x-y=-0.75

jimthompson5910 (jim_thompson5910):

hint: solve for y in the second equation

OpenStudy (song_of_the_sole):

how do i do that

jimthompson5910 (jim_thompson5910):

how would you move the 3.25x over?

OpenStudy (song_of_the_sole):

subtract it?

jimthompson5910 (jim_thompson5910):

subtract 3.25x from both sides, yes

jimthompson5910 (jim_thompson5910):

giving you what?

OpenStudy (song_of_the_sole):

-4

jimthompson5910 (jim_thompson5910):

-0.75 and -3.25x are NOT like terms

OpenStudy (song_of_the_sole):

-4x?

jimthompson5910 (jim_thompson5910):

you can't combine them

jimthompson5910 (jim_thompson5910):

just leave it as -0.75-3.25x

OpenStudy (song_of_the_sole):

so -y=-0.75-3.25

jimthompson5910 (jim_thompson5910):

-y=-0.75-3.25x

jimthompson5910 (jim_thompson5910):

then we multiply both sides by -1. Why? To turn that -y into +y which is just y so we'd go from -y=-0.75-3.25x to y=0.75+3.25x every negative flips to a positive

OpenStudy (song_of_the_sole):

ok

OpenStudy (song_of_the_sole):

then what?

jimthompson5910 (jim_thompson5910):

now we plug that into the first equation \[\Large -4.5x-2y=-12.5\] \[\Large -4.5x-2*(y)=-12.5\] \[\Large -4.5x-2*({\color{red}{y}})=-12.5\] \[\Large -4.5x-2*({\color{red}{0.75+3.25x}})=-12.5\] \[\Large -4.5x-2*(0.75+3.25x)=-12.5\] \[\Large -4.5x-2*(0.75)-2(3.25x)=-12.5\] \[\Large -4.5x-1.5-6.5x=-12.5\] I'll let you solve for x

OpenStudy (song_of_the_sole):

-2x=-11

jimthompson5910 (jim_thompson5910):

how did you get -2x?

OpenStudy (song_of_the_sole):

i added -4.5 to -6.5

OpenStudy (song_of_the_sole):

or would i just combine

jimthompson5910 (jim_thompson5910):

-4.5 plus -6.5 does not equal -2

OpenStudy (song_of_the_sole):

-11

jimthompson5910 (jim_thompson5910):

so we have -11x = -11 which means x = ???

OpenStudy (song_of_the_sole):

1

jimthompson5910 (jim_thompson5910):

now plug that into y=0.75+3.25x

OpenStudy (song_of_the_sole):

ok....

OpenStudy (song_of_the_sole):

what would that look like??

jimthompson5910 (jim_thompson5910):

replace x (in `y=0.75+3.25x`) with 1

OpenStudy (song_of_the_sole):

no which equation

jimthompson5910 (jim_thompson5910):

y=0.75+3.25x

OpenStudy (song_of_the_sole):

oh so y=0.75+3.25(1)

jimthompson5910 (jim_thompson5910):

yes

OpenStudy (song_of_the_sole):

it will still be y=0.75+3.25

jimthompson5910 (jim_thompson5910):

0.75+3.25 = ???

OpenStudy (song_of_the_sole):

4

jimthompson5910 (jim_thompson5910):

so x = 1 and y = 4

OpenStudy (song_of_the_sole):

oh is that all?

jimthompson5910 (jim_thompson5910):

yep

OpenStudy (song_of_the_sole):

okay i still have a few more mind helping me out

OpenStudy (song_of_the_sole):

ill make new question

jimthompson5910 (jim_thompson5910):

go ahead

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