Question

\(\LARGE{\color{red}{Tutorial:-}}\)

How to find the value of 'x' & 'y' in the equations by Elimination Method........

Answer 1

Example:- Solve for 'x' & 'y' :
10x+3y=75 ; 6x-5y=11

Solution:- The given equations are:
10x+3y=75 ..................(i)
6x-5y=11 .................(ii)
Multiplying (i) by 5 & (ii) by 3, we get:
50x+15y=375 ..................(iii)
18x-15y=33 ..................(iv)
Adding (iii) & (iv), we get:
60x=408 \(\Large{\implies x=\frac{408}{68}=6}\)
Putting x=6 in (i), we get
\(\Large{(10\times6)+3y=75\implies 60+3y=75}\)
\(\Large{\implies 3y=(75-60)}\)
\(\Large{\implies 3y=15\implies y=5.}\)

Answer 2

x?

Answer 3

6

Answer 4

how did you get 60x=408 ?

Answer 5

50x+15y=375 ..................(iii)
18x-15y=33 ..................(iv)
Adding (iii) & (iv), we get:
68x=408

Answer 6

Adding as u see @UnkleRhaukus :)
50x+15y=375
+18x-15y=+33
--------------------------
68x=408

Answer 7

ok , it just a minor typo

Answer 8

:)

Answer 9

i'd finish a simultaneous equations question with testing
the solution we found in both the equations
\[(x,y)=(6,5)\mapsto10x+3y=75\]
\[10(6)+3(5)=75\]\[60+15=75\]\[75=75\qquad \text {true}\]

\[(x,y)=(6,5)\mapsto 6x-5y=11\]
\[6(6)-5(5)=11\]\[36-25=11\]\[11=11\qquad \text{true}\]

Answer 10

Right

Answer 11

It can be used to check if our \(\Large{\cal{Answer}}\) is right or not ;)

Answer 12

Thanx for that @UnkleRhaukus in my Tutorial :)

Answer 13

we could also just be very difficult and use crammers rule to work it out.

Answer 14

good :)

Answer 15

what is good

Answer 16

my tutorial I think :P

Answer 17

:)

Answer 18

\[\huge{\color{blue}{\cal{G}}\color{red}{\textbf{R}}\color{green}{\mathsf{E}}\color{brown}{\frak{A}}\color{orange}{\mathbb{T}}\space \color{blue}{\textbf{T}}\color{black}{\cal{U}}\color{orange}{\mathbb{T}}\color{blue}{\frak{O}}\color{green}{\mathbb{R}}\color{red}{\mathsf{I}}\color{green}{\frak{A}}\color{brown}{\frak{L!!!}}}\\\]

Answer 19

being on openstudy.com with all guys.. I find that a very good thing myself but hey that is just me.

Answer 20

Wow so nice \(LATEX\):)

Answer 21

\[\huge{\color{blue}{\cal{:D thanks}}\space \color{green}{\frak{TheViper}}}\]

Answer 22

\[\Large{\color{red}{\cal{Great \space \color{green}{L}\color{blue}{A}\color{pink}{T}\color{gold}{E}\color{purple}{X}}}}\]

Answer 23

Viper your da man

Answer 24

\[\huge{\color{grey}{\frak{TH}}\color{green}{\cal{A}}\color{orange}{\mathbb{N}}\color{blue}{\mathsf{K}}\color{brown}{\textbf{S}}\space \color{violetred}{\textbf{Again TheViper}}}\]

Answer 25

now I stop this latex making and will not disturb your tutorial

thanks

Answer 26

o.O
wow
@mathslover {Your wish}
But my advice is that plz give a tutorial on LaTeX :)
U the Best !!!

Answer 27

yw

Answer 28

there is already a tutorial for latex...

Answer 29

is this the new math or something?? because I wasn't told about this. lol

Answer 30

I am a dumb man in using latex :S

Answer 31

May be one day Latex 5 I will learn as well. May be there is a College of Latex out there somewhere lol