Mathematics
17 Online
OpenStudy (anonymous):
Using elimination what is the solution of the system?
-5x - 2y = 4
3x + 6y = 6
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
you could start by eliminating the y's by multiplying the 1st equation by 3. Yes?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
-15x 12y=24 but what sing goes between -15x and 12y?
OpenStudy (anonymous):
-, look at it this way 3(-5x-4y=4) is the same as 3(-5x)+3(-4y)=3(4)
3(4) is not 24 by the way
OpenStudy (anonymous):
the answer they give are
a) (-5,10.5)
b) (-3,2.5)
c) (-1.5,1.75)
d) (1.5,0.25)
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
@emma151
rewite equation one so that you can subtract it from equation two by multiplying by 3.. waht do you get?
OpenStudy (anonymous):
so multiply first equation by 3?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
-15 - 6 = 12?
OpenStudy (anonymous):
yes but with the letters so -15x-6y=12
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
so now we have these equations:
-15x-6y=12
3x+6y=6
which term can you eliminate? the y or the x? and how?
OpenStudy (anonymous):
@emma151
OpenStudy (anonymous):
The 6y because they are the same now
OpenStudy (anonymous):
yes, good.so you add the 1st equation to the second
OpenStudy (anonymous):
write down what you get :)
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
-12x = 18
OpenStudy (anonymous):
x=1.5 right
OpenStudy (anonymous):
yes, now plug it into any equation and you get your y :)
OpenStudy (anonymous):
by the way x= -1,5 since its 18/-12
OpenStudy (anonymous):
@emma151
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
y=1.75
OpenStudy (anonymous):
Thank you @Servet! Thnak you @bronzegoddess!
OpenStudy (anonymous):
you are welcome :)