Question

What is the solution of the system? Use substitution. y = 6x + 2 3y - 18x = 12

Answer 1

3(6x+2)-18x=12 (y=6x+2, so you plug in 6x+2 into the y in 3y-18x=12)
18x+6-18x=12    (Then you distribute the 3 to the 6x and to the 2)
6=12                    (Combine like terms 18x-18x)

There is no solution. Hope this helps and makes sense.

Answer 2

Answer:

The lines are parallel so no solution exist.

Step-by-step explanation:

Given : System of equations

$y=6x+2$ and $3y-18x=12$

To find : What is the solution of the system?

Solution :

Let $y=6x+2$ ....(1)

$3y-18x=12$ ....(2)

Applying substitution method in the system of equations,

Substitute y from equation (1) into (2)

$3y-18x=12$

$3(6x+2)-18x=12$

$18x+6-18x=12$

$6\neq12$

Since by substitution we can't get the solution means either equations have no solution or both equations are parallel.

Re-write the equation (2)

$3y-18x=12$

$3(y-6x)=12$

$y-6x=4$

$y=6x+4$

Since the slope of both the equations are same.

The lines are parallel so no solution exist.