Solve the system of equations.
5x + y = 9
3x + 2y = 4
A (−2, 5)
B (1, 4)
C (2, −1)
D (4, −4)
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
pooja195 (pooja195):
Ok number the equation first
5x + y = 9 <---equation 1
3x + 2y = 4 <----equation 2
First we need to isolate a varible (so we can do substituion)
5x =5x+ y = 9 -5x
When you do subtract 5x from both sides you get:
y=-5x+9
Now we can substitute that into E2
\[\huge~\rm~\bf3x + 2(-5x+9)= 4\]Solve for x
OpenStudy (anonymous):
There are so many of these... I'm pretty sure that most people are too lazy to plug in the values lol
OpenStudy (dancergirl45):
-2X+11=4
pooja195 (pooja195):
So we are solving for x
|dw:1448555600998:dw|
Distribute 2 into the parehteses
pooja195 (pooja195):
What is 2 times -5?
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (dancergirl45):
-10
pooja195 (pooja195):
Good
what is 2 x 9?
OpenStudy (dancergirl45):
18
pooja195 (pooja195):
Good so now we have
\[\huge~\rm~3x−10x+18=4\]
Now we need to combine like terms
\[\huge~\rm~\bf 3x-10x=?\]
OpenStudy (dancergirl45):
7X
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
pooja195 (pooja195):
* -7x
3-10=-7
Now this is what we have
\[\huge~\rm~\bf−7x+18=4 \]
We need to subtract 18 from both sides
\[\huge~\rm~\bf−7x+18-18=4-18 \]
\[\huge~\rm~\bf−7x=4-18 \]
4-18=?
OpenStudy (dancergirl45):
-14
pooja195 (pooja195):
Perfect! :)
\[\huge~\rm~\bf−7x/-7=−14/-7\]
Now all we have to do is divide both sides by -7
x=?
OpenStudy (dancergirl45):
-7X,-14
pooja195 (pooja195):
-7/-7=1
so just x
What is -14/-7?
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (dancergirl45):
2
OpenStudy (dancergirl45):
SO c
pooja195 (pooja195):
Yep =)
OpenStudy (dancergirl45):
tHANK YOU SO MUCH CAN U HELP ME WITH ONE MORE i WILL OPEN A NEW QUESTION