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Mathematics 17 Online
OpenStudy (anonymous):

PLEASE HELP ME

OpenStudy (anonymous):

OpenStudy (anonymous):

ifg you want i can tell you what i got so far

OpenStudy (anonymous):

@quin100 @satellite73 @DanJS

OpenStudy (danjs):

k

OpenStudy (danjs):

5x - y = 27 2x + 3y = -13

OpenStudy (danjs):

multiply the first equation by 3 first...

OpenStudy (anonymous):

5x – y = 27 5x – y + y = 27 + y 5x = 27 + y 5x – 27 = 27 + y – 27 Y= 3 (5x – 27) = 3.5x – 3 * 27 = 15x – 81 2x + 3(5x – 27) = -13 2x + 15x – 81 = -13

OpenStudy (anonymous):

thats what i got so far

OpenStudy (danjs):

15x - 3y = 81 2x + 3y = -13 ------------- The first equation was multiplied by 3, now add the two equations together

OpenStudy (danjs):

notice the Y cancels out , (-3Y + 3Y) = 0Y

OpenStudy (anonymous):

was mine right? so far

OpenStudy (danjs):

hmm, looks like you were kinda there in the first equation. You were solving for Y. That is another way you can do this. Solve Both for Y, then set them equal.

OpenStudy (danjs):

This way is easier i think ... Just multiply the first equation by 3, then add them together

OpenStudy (anonymous):

i got help before and they quite on me because they had to go sadly

OpenStudy (anonymous):

quit*

OpenStudy (danjs):

15x - 3y = 81 First equation x3 2x + 3y = -13 -------------------------- add them together 17x + 0y = 68

OpenStudy (danjs):

I multiplied the first equation by 3, so that when you add them , the Y term goes to ZERO

OpenStudy (danjs):

now you are left with 17x = 68 x = 68/17 = 4

OpenStudy (danjs):

Put x = 4 into one of the equations, and solve for y

OpenStudy (anonymous):

so... 15x - 3y = 81 2x + 3y = -13 17x + 0y = 68 17x = 68 x = 68/17 = 4

OpenStudy (anonymous):

start off from mine than end with your right?

OpenStudy (anonymous):

@DanJS

OpenStudy (danjs):

Right, you multiplied the first equation through by 3, so that the Y term would be -3, and when you add the equation, the Y variable cancels out, looks good so far, now use that x = 4 in one of the equations and find Y 2x + 3y = -13 ; x = 4 2(4) + 3y = -13 8 + 3y = -13 subtract 8 from both sides 3y = -13 - 8 = -21 divide both sides by 3 y = -21/3 y = -7 so overall x=4 and y = -7

OpenStudy (anonymous):

so... 5x – y = 27 5x – y + y = 27 + y 5x = 27 + y 5x – 27 = 27 + y – 27 15x – 3 = 81 2x + 3y = -13 17x + 0y = 68 17x = 68x = 68/17= 4 2x + 3y = -3 X = 4 2 (4) + 3y = -3 8 + 3y = -13 subtract 8 from both sides 3y = -13 – 8 = -21 divide both sides by 3 Y = -21/3 Y = -7 X = 4 and y = -7 and thats the end of that equation @DanJS

OpenStudy (danjs):

yeah looks like exactly what i typed, cept jumbled up together..

OpenStudy (danjs):

tag me in a neq question if you want to do another prob

OpenStudy (danjs):

new*

OpenStudy (anonymous):

what happened to .... 3 (5x – 27) = 3.5x – 3 * 27 = 15x – 81 2x + 3(5x – 27) = -13 2x + 15x – 81 = -13 ... is that the end of my how question

OpenStudy (anonymous):

is that the answer to my whole question**

OpenStudy (danjs):

when it says solve, they just want x=# and y=#, the values for the unknown variables x and y

OpenStudy (anonymous):

ok

OpenStudy (danjs):

Graphically , each of those equations is a line on the XY-plane. The solution x = 4 and y=-7, is the point where the lines cross each other. (x,y) = (4,-7)

OpenStudy (anonymous):

so im done ? @DanJS

OpenStudy (danjs):

i can link a graph of this prob if you would like

OpenStudy (anonymous):

that would be great thanks !

OpenStudy (danjs):

sorry, this site is a piece of crap and lagging like crazy.. give me one min

OpenStudy (danjs):

OpenStudy (danjs):

You can see the equations for the lines on the left, and the intersection point is the solution (4,-7)

OpenStudy (anonymous):

are we done with the whole thing now? and thanks @DanJS

OpenStudy (danjs):

yes, solve the system, means, find that point where the lines cross. (x,y) = (4,-7) x = 4 and y = -7

OpenStudy (danjs):

you are welcome, anytime

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