Question

Help me solve please!
Determine the solution of the system. Show your work.
Y = 5x – 9
Y = 2x + 6

Answer 1

Hi there!
Welcome to OpenStudy :)
Any ideas on where to start?

Answer 2

You can subtract the two equations by subtracting both sides to get the equations in the form ax+by=c

Answer 3

Thanks (: I honestly don't remember how to start this ):

Answer 4

\(\color{#0cbb34}{\text{Originally Posted by}}\) @asiannerd
You can subtract the two equations by subtracting both sides to get the equations in the form ax+by=c
\(\color{#0cbb34}{\text{End of Quote}}\)
There is an easier way

Answer 5

You can also you substitution by isolating one of the x's and plug in the x into the other equation

Answer 6

Since they already tell you what y equals
Y = 5x – 9 <---equation 1
Y = 2x + 6 <----Equation 2
Take equation 1 and plug it into equation 2
Like this:
5x-9=2x+6
Now solve for x

Answer 7

okay so you solve both equations for x then what?

Answer 8

It's one equation
5x-9=2x+6
You need to solve for x in this equation

Answer 9

My bad got a little confused

Answer 10

But thankyou both (:

Answer 11

So here if you subtract, you want (-5x+y=-9)-(-2x+y=6)

Answer 12

^not really D:
5x-9=2x+6

You need to come like terms

Answer 13

so then it's 5x=2x15?

Answer 14

*5x=2x+15
Yep now continue

Answer 15

hmmmm.. then divide 2 by 5??

Answer 16

No but we can subtract it :)

Answer 17

5-2=?

Answer 18

3 ahah

Answer 19

Good 3x=15
any ideas on what's next?

Answer 20

^Remember that we are trying to get x ALONE.

Answer 21

Ohhh okay, so now you still subtract right? 3 - 15?

Answer 22

hmm no quite...we would divide to get x alone 15/3=?

Answer 23

or divide

Answer 24

*not

Answer 25

yep lol

Answer 26

sooo x=5?

Answer 27

Yep yep! :)
Now pick an equation, equation 1 or 2 ? (just like pick a card any card :P )

Answer 28

hmmm equation 1? :o

Answer 29

okie good =)
We know that x=5 so all we do is plug 5 into equation 1 to get our y value
Y = 5(5) – 9
Solve for y

Answer 30

y=25-9?

Answer 31

yep keep going

Answer 32

y= hmmm 25?

Answer 33

not quite!
25-9=?

Answer 34

Ohhh! sorry i completely forgot the 9

Answer 35

y=16!

Answer 36

No worries haha yep thats right
So we have
(5,16)
where x=5 and y=16

Answer 37

And thats it?

Answer 38

Did I make it too easy? ;)

Answer 39

Hahah you helped me alot (: sorry for being a little difficult!

Answer 40

Lol you're fine no worries!
And you're welcome ^_^