1. ## simultanious equation

hi,

this is my question:
Find the coordinates of the point where the line x-4y=3 intersects the line 3x+5x=26.

i know i would do simultanious but would it be with these two:
x-4y=3
3x+5x=26

rearange:

-4y=-x+3
8x=26?

is this correct so far? if not where am i going wrong? also if this is correct, im not sure what to do next.

thanks!

2. ## Re: simultanious equation

Originally Posted by andyboy179
hi,

this is my question:
Find the coordinates of the point where the line x-4y=3 intersects the line 3x+5x=26.

i know i would do simultanious but would it be with these two:
x-4y=3
3x+5x=26

rearange:

-4y=-x+3
8x=26?

is this correct so far? if not where am i going wrong? also if this is correct, im not sure what to do next.

thanks!
Is there a typo in the second equation?

If there isn't then you can work out x just from the second equation and sub it's value into the first equation and find y

So yes, you're right up to there. Now you need to find the value of x nd use it to find y

3. ## Re: simultanious equation

Originally Posted by andyboy179
hi,

this is my question:
Find the coordinates of the point where the line x-4y=3 intersects the line 3x+5x=26.

i know i would do simultanious but would it be with these two:
x-4y=3
3x+5x=26

rearange:

-4y=-x+3
8x=26?

is this correct so far? if not where am i going wrong? also if this is correct, im not sure what to do next.

thanks!
Definitely correct so far. Like previously stated, just keep going with it. Divide 8 into 26 to have your x value, and then insert that number into your first equation and solve for y.

4. ## Re: simultanious equation

Originally Posted by andyboy179
hi,

this is my question:
Find the coordinates of the point where the line x-4y=3 intersects the line 3x+5x=26.
You have almost certainly got the question wrong. The second equation should be 3x+5y=26. You can then solve the simultaneous equations in the usual way.

5. ## Re: simultanious equation

Make x the subject in the first equation> x= 4y+3 Now sub this into the second
3(4y+3) +5y = 26
12y+9 +5y = 26
17y = 17
y= 1 Sub this into > x = 4(1) +3 = 7 Hence, coordinates of intersection are (7,1)