Solve the given system, using the substitution method.

y = 3x – 7
6x – 2y = 12

a.
(14, 12)

b.
(12, 14)

c.
there is no solution.

d.
there are an infinite number of solutions.

Y = 3x - 7 . . . . . (1)
6x - 2y = 12 . . . (2)

Putting (1) into (2) gives
6x - 2(3x - 7) = 12
6x - 6x + 14 = 12
14 = 12

Therefore, there is no solution.

The general equation of a line is expressed as:

y = mx + b

We have to write the equations to this form to see whether from there we can conclude something.

y = 3x – 7             (1)
6x – 2y = 12        (2)
-2y = 12 - 6x
y = 3x -6

We can see that both equations have the same slope and different values of y-intercept. Therefore, they are parallel and would never meet. 

The correct answer is option C, there is no solution.

A5 miles because when you look at the chart count how many times it goes into it i don’t even know wha,t i’m saying anymore mpbut long stor6 short it’s 5 miles