Hi,

can someone please help me with this question.

1. Two sides of a rectangle have equations y=2x and 2y+x=5. Find, algebraically, the coordinates of the vertex of the rectangle formed by these sides.

DScott24

**1**

# mixed questions (need help)

Started by Dscott24, Mar 12 2006 01:13 PM

7 replies to this topic

### #1

Posted 12 March 2006 - 01:13 PM

### #2

Posted 12 March 2006 - 01:17 PM

Make a sketch of what's going on. Do you know what the question is

*actually*asking you?### #4

Posted 12 March 2006 - 01:31 PM

Well, if the lines intersect then you are looking for a point which lies on both the lines, i.e. solving the equation of the lines simultaneously.

Have a look at the new Straight Lines notes for more information.

Have a look at the new Straight Lines notes for more information.

### #5

Posted 12 March 2006 - 01:43 PM

Well, if the lines intersect then you are looking for a point which lies on both the lines, i.e. solving the equation of the lines simultaneously.

Have a look at the new Straight Lines notes for more information.

Yeah i just tried that, although i didnt get the right answer. can you try it and tell me what u got?

DScott24

### #6

Posted 12 March 2006 - 01:48 PM

I got (1,2).

### #8

Posted 12 March 2006 - 01:58 PM

Ok, you have:

So all you have to do is solve them simultaneously. There are lots of ways you can do this (all covered in the notes), but I did this:

From (1), (by multiplying through by 2), then substitute this into (2):

Then substitute this into either (1) or (2) to get the

So all you have to do is solve them simultaneously. There are lots of ways you can do this (all covered in the notes), but I did this:

From (1), (by multiplying through by 2), then substitute this into (2):

Then substitute this into either (1) or (2) to get the

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