Mathematics
22 Online
OpenStudy (anonymous):
PLEASE HELP ME
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
OpenStudy (solomonzelman):
just writing to have a vision of them.
\(\large\color{slate}{ 5x-y=27 }\)
\(\large\color{slate}{ 2x+3y=-13 }\)
OpenStudy (anonymous):
ok
OpenStudy (solomonzelman):
What you can do is:
rearrange the first equation to y=....
(solve for y in the first equation)
OpenStudy (solomonzelman):
(the steps for this rearrangement:
1) add y to both sides
2) subtract 27 from both sides
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
ok let me see if I can do it
OpenStudy (anonymous):
5.4?
can you help me start it off
OpenStudy (solomonzelman):
\(\large\color{slate}{ 5x−y=27 }\)
\(\large\color{slate}{ 5x−y\color{red}{+y}=27\color{red}{+y} }\)
\(\large\color{slate}{ 5x=27+y }\)
\(\large\color{slate}{ 5x\color{red}{-27}=27+y\color{red}{-27} }\)
so \(\large\color{slate}{ y= }\) ??
OpenStudy (solomonzelman):
click on the question above or below, rejoin and question marks will dissapear
OpenStudy (solomonzelman):
(apologize for the question marks)
can you see my reply, or should I repost it?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
yes i can
OpenStudy (solomonzelman):
okay, so then, tell me what you get for y (in the first equation, in terms of x)
OpenStudy (anonymous):
ok one sec
OpenStudy (solomonzelman):
take your time...
OpenStudy (anonymous):
-22?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (solomonzelman):
you already solve for y?
OpenStudy (solomonzelman):
\(\large\color{slate}{ 5x\color{red}{-27}=27+y\color{red}{-27} }\)
\(\large\color{slate}{ 5x\color{red}{-27}=\color{red}{\cancel{27}}+y\color{red}{\cancel{-27}} }\)
OpenStudy (solomonzelman):
and so you get that y=?
OpenStudy (anonymous):
so basically 5-27?
OpenStudy (solomonzelman):
was about to reply, and lost conection
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (solomonzelman):
\(\large\color{slate}{ y=5x-27 }\) is right
OpenStudy (solomonzelman):
your second equation is: \(\large\color{slate}{ 2x+3y=-13 }\)
Substitute \(\large\color{slate}{ 5x-27 }\) instead of y, into the second equation.
OpenStudy (solomonzelman):
\(\large\color{slate}{ 2x+3(5x-27)=-13 }\) like this
OpenStudy (solomonzelman):
can you solve for x?
OpenStudy (anonymous):
so were done with the first equation
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (solomonzelman):
yes (for now at least)
OpenStudy (solomonzelman):
you need to solve for x.
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
i kinda need help starting this one @SolomonZelman if you want to help
OpenStudy (anonymous):
i will try one sec
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
2x + 3y = -3
x + 3y = -3
2x + y = y = -3
?
OpenStudy (solomonzelman):
can you expand `3(5x-27)` ?
OpenStudy (anonymous):
are you asking me can i do it or is that possible to expand it
OpenStudy (solomonzelman):
can you do it
OpenStudy (anonymous):
i'll try
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
3(5x-27)
3 + x = 27= 27 + 5x
OpenStudy (solomonzelman):
Just like \(\large\color{slate}{ a(b-c)=a\cdot b - a\cdot c =ab-ac }\)
so is, \(\large\color{slate}{ 3(5x-27)=3\cdot 5x -3\cdot 27 =15x-81 }\)
OpenStudy (solomonzelman):
so you get:
\(\large\color{slate}{ 2x+3(5x-27)=-13 }\)
\(\large\color{slate}{ 2x+15x-81=-13 }\)
OpenStudy (solomonzelman):
now, add the x's on the left side, what do you get/
OpenStudy (anonymous):
x = 1 right ?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
@SolomonZelman
OpenStudy (solomonzelman):
no that is not right-:(
Can you add the x's on the right side, and tell me what you get please.
OpenStudy (solomonzelman):
I mean on the left side, excuse me
OpenStudy (anonymous):
3x + 16x - 81 = -3 ?
OpenStudy (solomonzelman):
15+2 = ?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
17
OpenStudy (anonymous):
@SolomonZelman