Question

Can someone explain to me how to do the substitution method using this problem?
Solve the given system, using the substitution method.

y = 3x – 7
6x – 2y = 12

A.
There is no solution.

B.
(12, 14)

C.
There are an infinite number of solutions.

D.
(14, 12)

Answer 1

substitute "3x-7" for y in the eqn "6x-2y=12" make sense?

Answer 2

@simsim789

Answer 3

i don't really get it

Answer 4

how do you "substitute" it? @Godlovesme

Answer 5

k y=3x-7 so
6x-2y=12
6x-2(3x-7)=12
can u solve for x?

Answer 6

@simsim789

Answer 7

yah, so first you have to use the distribution property so 2*3x= 6x and 2*7=14 so now it would be 6x - 6x - 14=12 then you have to subtract the first 6x from the equation, am i doing it right? @Godlovesme

Answer 8

yes!! :D

Answer 9

so now it would be -6x - 14 = -6x + 12 right?

Answer 10

wasn't it like this
6x-6x-14= 12 ???

Answer 11

yah, but after you subtract the 6x you would get -6x - 14= 6x +12? i rlly suck at this stuff

Answer 12

aww it's alright :))
u don't need to subtract 6x cuz we don't have like erms on the other side
does that make sense?