PLZ HELP-WILL FAN AND MEDAL
x + y = 5
y = one halfx + 2
If the two equations are graphed, at what point do the lines representing the two equations intersect?
(2, 5)
(5, 2)
(2, 3)
(3, 2)

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## More answers

- JoannaBlackwelder

Do you have any thoughts on how to start?

- anonymous

Easy math.

- JoannaBlackwelder

Maybe it is for you, @JacobRobloxian but I'm sure you didn't know how to do a problem like this at some point.

- anonymous

Im trying to solve it hold on.

- JoannaBlackwelder

:-)

- anonymous

I would say either c or d but

- JoannaBlackwelder

Give steps if you want to help, not letter answers, @JacobRobloxian

- anonymous

Well first solve for x, then plug it in either of the equations to get a corresponding y, it doesn't matter which one you pick.

- JoannaBlackwelder

|dw:1439928926327:dw| I would substitute what y equals in for the other equation.

- anonymous

When you get the (x,y) that will be the point where the lines intersect.

- JoannaBlackwelder

|dw:1439928993220:dw| See how I subbed that in?

- anonymous

yes i do

- JoannaBlackwelder

Sweet :-) Can you solve for x?

- anonymous

yes, give me one sec to work it out :)

- JoannaBlackwelder

Sure thing :-)

- anonymous

I'm having a hard time solving it :0

- anonymous

Try and plug in one of your choices for the x and y values. He gave you the right equations to help you input those values from your choices.

- JoannaBlackwelder

|dw:1439929323531:dw| First combine like terms.

- anonymous

ok i see now

- JoannaBlackwelder

|dw:1439929409830:dw| :-) One more step of combining like terms

- anonymous

@JoannaBlackwelder Great work, thank you for completely running through it with this poster! (:

- JoannaBlackwelder

Thanks :-) and you're welcome

- JoannaBlackwelder

Any ideas for the next step?

- anonymous

is that 2 slashed out or no?

- JoannaBlackwelder

I'm not sure what you mean. I subtracted 2 on both sides. How do you think that would simplify?

- anonymous

divide on each side??

- JoannaBlackwelder

Yep, good. What does that give?

- anonymous

im not sure what to divide on each side though

- JoannaBlackwelder

|dw:1439929759309:dw| 3/2 is multiplied by x, so we need to divide by 3/2 to get x by itself.

- JoannaBlackwelder

|dw:1439929805492:dw| Can you simplify that fraction?

- anonymous

right, ok ok i get it now, but no i can't do that

- anonymous

Your x/y value which was not used. 3/2x = 3
3/2x into 3.
Consider, 3/2 x 2 = 6/2
6 divided by 2 is 3.
Which would give you your answer.
2/1 = 2
3/2 * 2/1
6/2
x = 2

- JoannaBlackwelder

Yep, that is one method :-)

- anonymous

ohhh i see u turn the 2 into a fraction thanks @Mikeyy1992 and @JoannaBlackwelder

- anonymous

but i still don't get the graphing points

- anonymous

Of course, we're here to help, there are many methods to solve a puzzle, ever need help tag us. You're welcome! (:
What do you not get?

- JoannaBlackwelder

The graphs intersect at the solution.

- JoannaBlackwelder

We found the x coordinate to be 2 so far.

- anonymous

ok i see

- JoannaBlackwelder

So now we need to find the corresponding y value.

- JoannaBlackwelder

:-)

- anonymous

got it

- anonymous

:)

- JoannaBlackwelder

Great!

- anonymous

oh no i mean like yes we have to get the y value sorry :)

- JoannaBlackwelder

It's good. We can plug that x value into either equation and solve for y.

- anonymous

ok

- anonymous

so what is y

- anonymous

- anonymous

All you have to do is plug in x into the equation you have already. (:

- JoannaBlackwelder

|dw:1439930372656:dw|

- anonymous

C?

- anonymous

- JoannaBlackwelder

Yep, great!

- anonymous

yay thank u guys sm :D

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