What is the solution of the system? Use substitution.
y = 6x + 2
3y - 18x = 12
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:
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)
\(3y-18x=12\)
\(3(6x+2)-18x=12\)
\(18x+6-18x=12\)
\(6 eq12\)
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.