Final answer:
To solve the system of equations using substitution, solve one equation for one variable and substitute it into the other equation. In this case, solve the second equation for y and substitute it into the first equation to find the value of x. Then, substitute the found value of x into the second equation to find the value of y. The solution to the system of equations is the ordered pair (6, 4).
Step-by-step explanation:
To solve the system of equations using substitution, we need to solve one equation for one variable and substitute it into the other equation.
From the second equation, we can solve for y:
y = 3x - 14
Substitute this value of y into the first equation:
x + 2(3x - 14) = 14
Simplify and solve for x:
x + 6x - 28 = 14
7x = 42
x = 6
Substitute this value of x back into the second equation to find y:
y = 3(6) - 14
y = 18 - 14
y = 4
Therefore, the solution to the system of equations is the ordered pair (6, 4).