Final answer:
To solve the system of equations, use the substitution method. However, in this case, there is no solution.
Step-by-step explanation:
The given equations are:
y = 3x + 5
2y - 6x = 4
To solve this system of equations, the most appropriate method would be the substitution method. This method involves solving one equation for one variable and substituting the value into the other equation.
Step 1: Solve the first equation for y:
y = 3x + 5
Step 2: Substitute the value of y from step 1 into the second equation:
2(3x + 5) - 6x = 4
Simplify and solve for x:
6x + 10 - 6x = 4
10 = 4
This equation is not true, so there is no solution.