Question

what are the coordinates of the point of intersection of the two lines on the graph?
of
{10x+4y=24
{-6x-4y=8

Answer 1

use elimination method
10 x + 4y = 24
-6x - 4y = 8
_________________
4x = 32
x= 8

Now plug x into 10x + 4y = 24.
find y

Answer 2

i got the coordinated (8,-14) but idk how to graph this

Answer 3

to graph it? Do you know how to find x and y intecepts? That's the easiest way to graph

Answer 4

sorry i was eating and i got y=-10x/4+6 can you check if this is true?

Answer 5

Yes :), though I suggest knowing how to graph x,y intercepts.
It'd take you like 2 minutes to graph this system with that.

Answer 6

can you show me the quicker and more efficient way?

Answer 7

Sure, let's work with 10x + 4y = 24
find x intercept: plug in 0 = y. What do you get?

Answer 8

10x + 0 = 24
x= 24/10
x= 2.4

Answer 9

so there you go! You have point (2.4 , 0 ) on the first graph.
Now let's make that x = 0
10(0) + 4y = 24

Answer 10

tell me what you get for y.

Answer 11

y=6

Answer 12

yes, now you have ( 2.4 , 0 ) and ( 0 , 6).
Plot those two points?
then draw a straight line across it.

Answer 13

across those points. That's how you graph the first equation :)

Moving on to the second equation.

Answer 14

-6x -4y = 8
find x intercept: let y = 0
-6x -4(0) = 8
what do you get for x

Answer 15

Just work these out, then I'll prove that this works :)

Answer 16

x= -8/6
x= -1.33
So you have (-1.33, 0 )

now let x = 0
-6(0) -4y = 8
y= -2

so you have (0,-2)


plot these point for the 2nd equation.
Make a straight line across these 2 points.

Voila.

Answer 17

y=-2
x=4/3

Answer 18

sorry i forgot that we don't simplify 8/-6

Answer 19

basically, plugging in 0 for x and y is the easiest way to find the answers :)

Answer 20

you don't have to worry about both variables or extra numbers

Answer 21

oh ok well i would have to graph this tomorrow since i have teacher scored trest but i have the same questions and this was one of them

Answer 22

Ok, so just remember the points? haha.
Jk, do it again with this method will save you time :)