solve the system of equations below:
x-2y=3
2x-3y=9
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
Hello would u like some help in very good at math I'm in 7th grade and I'm Cecilia
OpenStudy (anonymous):
@hartnn can u help me? :)
OpenStudy (anonymous):
i suck at these lol
hartnn (hartnn):
sure,
lets try elimination method
hartnn (hartnn):
in the first equation you have x
while in the 2nd one you have 2x
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
hartnn (hartnn):
so multiply entire 1st equation by 2
what do u get ?
hartnn (hartnn):
\(2 [x-2y] = 2 \times 3 \\ ... \)
OpenStudy (anonymous):
x=2y+3/2 ???
hartnn (hartnn):
did you try to isolate x ?
hartnn (hartnn):
that you need to do when you're using substitution method
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
hartnn (hartnn):
if you're more comfortable with substitution mentod, we can take that up
OpenStudy (anonymous):
i suck at math, so either way is going to be a challenge for me :(
hartnn (hartnn):
in the last question, you used substitution method,
so in this one let us use elimination :)
hartnn (hartnn):
so
multiply 2 throughout the equation x-2y =3
let me give you an example :
Multiplying 3 throughout 4x+9y =-2
3[4x+9y] = -2*3
so we get
12x +27y = - 6
similarly what will u get if you multiply x-2y =3
by 2
OpenStudy (anonymous):
y=1/2x-3
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
?
hartnn (hartnn):
ok, so you isolated y now :)
lets go with substitution method only!
yes, thats correct
\(y = (1/2)(x-3)\)
thats what you meant, right ?
OpenStudy (anonymous):
ooops yea :)
hartnn (hartnn):
now plug this 'y' in 2nd equation
hartnn (hartnn):
\(2x - 3 (1/2) (x-3) = 9 \)
did you get that ? ^
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
hartnn (hartnn):
i just replaced y by 1/2 (x-3)
OpenStudy (anonymous):
so do i solve for x?
OpenStudy (anonymous):
x=9?
OpenStudy (anonymous):
(9,3)
hartnn (hartnn):
yes, you solve for x
and
x=9
is absolutely correct! :D
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
hartnn (hartnn):
yep, 9,3 :)
OpenStudy (anonymous):
:D thank you!!!!!
hartnn (hartnn):
welcome ^_^
OpenStudy (anonymous):
am i a super saiyan god now?? :) @hartnn lol
hartnn (hartnn):
lol, you'll become a god, if you could solve all math problems :P
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
ah poo that'll never happen haha
OpenStudy (anonymous):
thats why i will forever just be bulma...
hartnn (hartnn):
don't lose hope, with practice its possible :)
hartnn (hartnn):
and you're a cuter version of bulma :)
OpenStudy (anonymous):
:3
Still Need Help?
Join the QuestionCove community and study together with friends!