Question

what value of k makes the equation have no solution?
2x + 2 = kx - 3

Answer 1

2

Answer 2

can you explain how you get that answr?

Answer 3

the only way to remove x totaly from the equation is to put k = 2

Answer 4

better way of explaining would be to solve for x

Answer 5

2x -kx = -3-2

Answer 6

x(2-k) = -5

Answer 7

x= -5/ ( 2-k)

Answer 8

this solution for x is valid everywhere except k=2

Answer 9

because you cant divide by zero

Answer 10

wait why do you subract the kx and 2?

Answer 11

2x + 2 = kx -3 this is the original right ?

Answer 12

yah but i still dont quite understand how to do it... im not very good at math so can you explain it again

Answer 13

substract 2 from both sides >>> 2x + 2 - 2 = kx -3 -2
2x = kx - 5

Answer 14

now substract kx from both sides 2x - kx = kx - 5 - kx
2x - kx = 5

Answer 15

then what

Answer 16

then take x as a common factor from the left hand term
x(2-k) = 5

Answer 17

now devide both terms by (2-k)
x(2-k) / (2-k) = 5 / (2-k)

Answer 18

so x = 5 / (2-k)

Answer 19

then where do I go from there

Answer 20

u know how to devide a number by 0 ?

Answer 21

no can you explain?

Answer 22

you cannot devide any number by 0 thats mathimatically undefined

Answer 23

so the only way to make x is undefined is to make it a number devided by 0

Answer 24

again x = 5 / ( 2-k)

Answer 25

so make 2-k = 0

Answer 26

add k to both sides >>> 2 - k + k = 0 + k
so k = 2

Answer 27

got it ? :)

Answer 28

the only part i'm confused is when you are at x =5/2-k and how you get to the next step.

Answer 29

hmmm sorry i cannot really illustrate more