Question

HELP NEEDED

-3x + y = -3
x + y = 1
b. x + y = 1
x- 3y = -3
c. 3x + 2y = 6
-3x + 4y = 12
d. x + y = 5
x - 3y = -3 How do you solve these to get the ordered pair so I can graph them?

Answer 1

@hashbasl

Answer 2

You mean to get them into standard form (mx + b)?

Answer 3

no, i want to get them into an ordered pair. like (3,5) I honestly have no idea what i am doing.

Answer 4

Oh! You want to find the solution :)

Answer 5

YESSS!!!!! that was the word that i was looking for. i have graphs too. the graphs are the only thing i can really read. lol

Answer 6

The solution to a system of equations is looks like this on the graph

Answer 7

Its where they intersect

Answer 8

Do you want to know how to solve this algebraically?

Answer 9

gotcha...

Answer 10

I don't know... 8th grade math, suck at it.

Answer 11

Well you might need to know how to do it. So lets go through it together.

Answer 12

OK.

Answer 13

Say we had x+y = 2 and 2x-y = 5

Answer 14

We cant really solve one of them by themselves because there is two variables right?

Answer 15

right.

Answer 16

So this is what we do, we take one of the equations
x + y = 2
x + y - y =2 - y
x= 2 -y
And we solve for one of the variables! Now we know what x equals. (But we arent done yet)

Answer 17

ok...

Answer 18

So our equations were x+y = 2 and 2x-y = 5 right?

Answer 19

yes.

Answer 20

Now that we know what x equals we can do something known as substitution.

Answer 21

what i really need to do is this.

Answer 22

So if I was to do it to 2x-y = 5 it would look like this
2x - y = 5
and since x = 2 - y we can ...
2(2 - y) - y = 5

Answer 23

ok..

Answer 24

You see how there is only one variable in the equation now? Now we can solve for the y coordinate of the solution.

Answer 25

In (x,y)

Answer 26

this is what i am trying to do

Answer 27

that is what i am trying to figure out.

Answer 28

Are you allowed to graph?

Answer 29

that is what the actual teacher prefers.

Answer 30

Oh! Wow, that is so much faster.

Answer 31

I don't know how to manipulate microsoft office.

Answer 32

Here is a link to a graphing calculator: https://www.desmos.com/calculator

Answer 33

Type in the equations and match it to the right one

Answer 34

HOLY CRAP!!!!!! why am i not allowed to know that? if only i knew how to give people medals.

Answer 35

Click on the blue best response button next to the medal

Answer 36

Thank you.