Question

How many solutions exist for the following system of equations?
2x – 8y = 8
-x + 4y = 4

Answer 1

zippo

Answer 2

\[\Huge None!\]

Answer 3

How many solutions exist for the following system of equations?
2x + 3y = 20
-4x - 6y = -28

Answer 4

has no solution

Answer 5

lol, none!

Answer 6

http://www.wolframalpha.com/input/?i=plot+2x+%E2%80%93+8y+%3D+8%2C+-x+%2B+4y+%3D+4+

Answer 7

for the first or 2nd^

Answer 8

point is that in these examples one expression on the left hand side is a multiple of the other. but not so on the right

Answer 9

8x + 4y = -24
6x - 8y = -84 is this one zero also?

Answer 10

U can always plot them to see..

Do u know how to solve simultaneous equations?

Answer 11

No this has a solution.
notice 8 and 6 are not multiples of each other

Answer 12

oh

Answer 13

so it would be 1 or 2?

Answer 14

??
there is one solution
a solution is a point (x,y)

Answer 15

there are 3 possibilities
Zero solutions
One solution
Infinite solutions

Answer 16

yeah which one

Answer 17

If u have 2 (straight) lines, they either cross, don't cross or are the same line.

Which is it in this case?

Answer 18

have you learned elimination method yet?

Answer 19

no not yet

Answer 20

Oh, elimation work here!
Easy way!

Answer 21

If u have 2 (straight) lines, they either cross, don't cross or are the same line.

there are 3 possibilities Zero solutions One solution Infinite solutions

Answer 22

haha lets hear it then saifoo

Answer 23

Ok, im saying... u hear..

Answer 24

huh

Answer 25

lol, u wanted to hear it right?

Answer 26

yeah

Answer 27

yeah

Answer 28

you should probably stick to graphing them then.
just find the intercepts. plug in 0 for x, find y. plug in 0 for y, find x
this way you can graph both lines then determine if they cross or not

Answer 29

Everything u need to know to answer this question (and others similar) is here in this thread, just think about it.