Question

Solve the given system, using the substitution method.

y = 3x – 7
6x – 2y = 12

A.
(14, 12)

B.
There are an infinite number of solutions.

C.
(12, 14)

D.
There is no solution.

Answer 1

i am thinking either c or b

Answer 2

let me work it out so i am sure one sec, because i am leaning towards c

Answer 3

i have one more question after this and that is it just to make it clear, and i do think it is c :)

Answer 4

So to substitute you first must simplify / rearrange one of the equations.
In this case it is already rearranged nicely.

Then, substitute in your answer from above.
e.g.
6x - 2 (3x - 7) = 12
6x - 6x - 7 = 12
-7 = 12

The above is obviously not true, and so no matter what values you give x and y, it will not work.
Therefore, there is no solution.
D.

Answer 5

aww really i was way off!

Answer 6

thx here is a medal!

Answer 7

You can always check something like C by putting the values into the equation.
e.g.
(12, 14)
y = 3x – 7

does 14 = 3(12) - 7?
14 = 36 - 7
14 = 29

No, so it cannot be a solution