The diagonals of parallelogram LMNO intersect at point P. If MP = 2x − 1 and OP = 3x − 4, what is MP?

−1
1
3
5

Question

The diagonals of parallelogram LMNO intersect at point P. If MP = 2x − 1 and OP = 3x − 4, what is MP?

−1
 1
 3
 5

Axolotl · Answer

Oh hi Astrid! We are both axolotls lol

Astrid1 · Answer

We're given:
MP=2x-1
OP=3x-1

Equate The Diagonals:
MP=OP
2x-1=3x-4
Collect Like Terms (x)
2x-3x=-4+1
-x=-3

Make (x) the subject 
x=-3/1
x=3

MP= 2x-1=2(3)-1=6-1=5

So your answer should be option d, 5. xd hello

Axolotl · Answer

@astrid1 wrote:

We're given: MP=2x-1 OP=3x-1 Equate The Diagonals: MP=OP 2x-1=3x-4 Collect Like Terms (x) 2x-3x=-4+1 -x=-3 Make (x) the subject x=-3/1 x=3 MP= 2x-1=2(3)-1=6-1=5 So your answer should be option d, 5. xd hello

THANK YOU SO MUCH! I didn't really know how to do this ;-;

Astrid1 · Answer

Ofc!! I hope I helped ;c

Astrid1 · Answer

Haven't done problems like this in a little bit

Axolotl · Answer

@astrid1 wrote:

Haven't done problems like this in a little bit

Yes it helped me thank you <3 (you are now one of my favorites! It is not just because you are also a Axolotl now lol)

Axolotl · Answer

@astrid1 wrote:

Ofc!! I hope I helped ;c

I really appreciate that you took time to answer my question and that you helped me by doing it step by step

jhonyy9 · Answer

@axolotl wrote:

@astrid1 wrote:

We're given: MP=2x-1 OP=3x-1 Equate The Diagonals: MP=OP 2x-1=3x-4 Collect Like Terms (x) 2x-3x=-4+1 -x=-3 Make (x) the subject x=-3/1 x=3 Attention !!! x = -3/(-1) not +1 for x= -3/1 you get x= -3 not 3 MP= 2x-1=2(3)-1=6-1=5 So your answer should be option d, 5. xd hello

THANK YOU SO MUCH! I didn't really know how to do this ;-;

Axolotl · Answer

@jhonyy9 wrote:

@axolotl wrote:

@astrid1 wrote:

We're given: MP=2x-1 OP=3x-1 Equate The Diagonals: MP=OP 2x-1=3x-4 Collect Like Terms (x) 2x-3x=-4+1 -x=-3 Make (x) the subject x=-3/1 x=3 Attention !!! x = -3/(-1) not +1 for x= -3/1 you get x= -3 not 3 MP= 2x-1=2(3)-1=6-1=5 So your answer should be option d, 5. xd hello

THANK YOU SO MUCH! I didn't really know how to do this ;-;

Why did you repost the messages? You didn't say anything.

jhonyy9 · Answer

@axolotl wrote:

@jhonyy9 wrote:

@axolotl wrote:

@astrid1 wrote:

We're given: MP=2x-1 OP=3x-1 Equate The Diagonals: MP=OP 2x-1=3x-4 Collect Like Terms (x) 2x-3x=-4+1 -x=-3 Make (x) the subject x=-3/1 x=3 Attention !!! x = -3/(-1) not +1 for x= -3/1 you get x= -3 not 3 MP= 2x-1=2(3)-1=6-1=5 So your answer should be option d, 5. xd hello

THANK YOU SO MUCH! I didn't really know how to do this ;-;

Why did you repost the messages? You didn't say anything.

bc. there is wrong what sou have wrote please correct it x = -3/1 = -3 not +3

Axolotl · Answer

@jhonyy9 wrote:

@axolotl wrote:

@jhonyy9 wrote:

@axolotl wrote:

@astrid1 wrote:

We're given: MP=2x-1 OP=3x-1 Equate The Diagonals: MP=OP 2x-1=3x-4 Collect Like Terms (x) 2x-3x=-4+1 -x=-3 Make (x) the subject x=-3/1 x=3 Attention !!! x = -3/(-1) not +1 for x= -3/1 you get x= -3 not 3 MP= 2x-1=2(3)-1=6-1=5 So your answer should be option d, 5. xd hello

THANK YOU SO MUCH! I didn't really know how to do this ;-;

Why did you repost the messages? You didn't say anything.

bc. there is wrong what sou have wrote please correct it x = -3/1 = -3 not +3

What would the answer be then? I'm trying to figure it out.

jhonyy9 · Answer

|dw:1665088035048:dw|

Axolotl · Answer

@jhonyy9 wrote:

Created with RaphaëlLMNOPMP = 2x -1OP = 3x -4MP = OPReply Using Drawing

Ok. So I'm trying to do the math. 2x - 1 = 3x - 4

jhonyy9 · Answer

from this equality you need calcule the x value

x = ?

Axolotl · Answer

@jhonyy9 wrote:

from this equality you need calcule the x value x = ?

I know! That's what I'm struggling to figure out :(

Axolotl · Answer

@axolotl wrote:

@jhonyy9 wrote:

from this equality you need calcule the x value x = ?

I know! That's what I'm struggling to figure out :(

ACKKKKKKKKK this is why I hate Geometry

jhonyy9 · Answer

2x -1 = 3x -4 subtract from both sides 2x so what you get ?

Axolotl · Answer

@jhonyy9 wrote:

2x -1 = 3x -4 subtract from both sides 2x so what you get ?

2x -1 = 3x - 4 -2x -2x -1 = x - 4

jhonyy9 · Answer

yes and now x = ?

Axolotl · Answer

WAIT I THINK I MIGHT HAVE IT

Axolotl · Answer

YASSSS

jhonyy9 · Answer

add to both sides 4

jhonyy9 · Answer

@axolotl wrote:

@jhonyy9 wrote:

2x -1 = 3x -4 subtract from both sides 2x so what you get ?

2x -1 = 3x - 4 -2x -2x -1 = x - 4

and now add to both sides 4

Axolotl · Answer

@jhonyy9 wrote:

add to both sides 4

2x -1 = 3x - 4 -2x -2x -1 = x - 4 +4 + 4 3 = x Am I correct?

jhonyy9 · Answer

yes of cours x = 3 but you need get the MP = ?

but there is MP = 2x-1

so now just substitute the 3 in please of x and will get the MP

Axolotl · Answer

oh ok

jhonyy9 · Answer

MP = ?

Axolotl · Answer

2(3) − 1
6 - 1 =
5

jhonyy9 · Answer

yes perfect MP = 5

but now than you wan check your answer is correct we know that MP = OP

OP = 3x -4 for x = 3 you need get OP = MP = 5

do you think this is true ?

jhonyy9 · Answer

OP = 3x -4 substitute the 3 in place of x and you need get 5

Axolotl · Answer

3(3) - 4 
9 - 4
5

jhonyy9 · Answer

perfect

so do you understand it all ?

Axolotl · Answer

@jhonyy9 wrote:

perfect so do you understand it all ?

YES! Thank you so much! I really really appreciate this!

jhonyy9 · Answer

np anytime just tag me when i m here online

hnd

cya

Axolotl · Answer

@jhonyy9 wrote:

np anytime just tag me when i m here online hnd cya

Bye thank you so so much! Both you and @astrid1 were a big help! Thank you both! No one usually helps me with my work so I'm so happy!