Question

I have 2 equations of 2 lines.I want to find point of intersection of those lines.How it could be done?
Thanks in advance.

Answer 1

Set the two equations equal to each other then solve them for where they equal 0

Answer 2

Can you elaborate please?

Answer 3

give us the two equations

Answer 4

ok.wait.

Answer 5

Solve both equations for the same variable, then set them equal and solve.

Answer 6

Find where they intersect? o.o It should be a spot where they both meet kinda making an X.

Answer 7

first equation = second equation you'll find the x they meet

but first you gotta sum the 2 lines so it will be 1 equations then you do what i said

Answer 8

Ok. here are the equations:
x- 7y +5 = 0 and
3x + y -7 = 0

Answer 9

to find the point of x and y that both lines have in common; we just make them equal each other.

Answer 10

I would put everything in terms of y first and so you'd have y=-3x+7 and y= x/7+5/7 then set them equal to each other

Answer 11

In terms of x I mean

Answer 12

x- 7y +5 = 3x + y -7 ; now move one side to the other:

x-3x -7y-y +5+7 = 0 ; combine the like terms

-2x -8y +12 = 0 ; well, one trial down :) try anothe rmethod

Answer 13

x = 2 y = 1

Answer 14

ok. let me try. I 'll solve for y. wait please!!

Answer 15

(2,1)

Answer 16

-3x+7 = x/7+5/7

Answer 17

Yeah, find a way to eliminate one of the variable; or to substitute a 'value' into the other equation; ill try elimination here

x - 7y +5 = 0 <- multiply this by -3
3x +y -7 = 0

-3x +21y -15 = 0
3x + y -7 = 0 ; now add them together
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22y -22 = 0 ; now its easier to solve for just the 'y'

Answer 18

Got it. x=2 and y=1. So, is this the intersection point? what is logic behind it?

Answer 19

the logic is that in order for these lines to cross; they have to have at least one point in common

Answer 20

at that point the x and y values are the same

Answer 21

"at that point the x and y values are the same" for both the lines, right?

Answer 22

yes

Answer 23

ok. now I can see through. Thanks everybody for helping me out.I appreciate.it.

Answer 24

☺ youre welcome