Answer:
To solve the given system of equations by substitution, we'll solve one equation for one variable and substitute it into the other equation. Let's solve the second equation for x:
x + 3y = 5
Solving for x, we get:
x = 5 - 3y
Now, substitute this value of x into the first equation:
2x + 6y = 3
2(5 - 3y) + 6y = 3
10 - 6y + 6y = 3
10 = 3
As we can see, we have reached an inconsistency where 10 is not equal to 3. Therefore, this system of equations does not have a solution.
The inconsistent result suggests that the two equations represent parallel lines that do not intersect. Thus, there is no solution that simultaneously satisfies both equations.
Explanation: