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.

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.

jim_thompson5910 · Answer

6x – 2y = 12

6x – 2(3x-7) = 12 ... replace y with 3x-7 (since y = 3x-7)

6x – 6x + 14 = 12

I'll let you finish up

anonymous · Answer

Thanks I just didnt get the 2(3x-7) part

jim_thompson5910 · Answer

you're welcome

abb0t · Answer

Well, well, well...

anonymous · Answer

6x - 6x = 0.
12 = 14

what does that tell you?

anonymous · Answer

There is no solution. If you rearrange both of them in terms of y you'll see they both have the same slope and hence are parallel. Which means they don't intersect. 

try and plot them you'll see.

anonymous · Answer

oh ok thnx

anonymous · Answer

alot i was stumped