Final answer:
To solve the system of equations x = 2y + 3 and 14x - 5y = 9, we can use the method of substitution. The solution is (x, y) = (3/23, -33/23).
Step-by-step explanation:
The given system of equations is:
x = 2y + 3
14x - 5y = 9
To solve this system, we can use the method of substitution. We can start by solving the first equation for x in terms of y:
x = 2y + 3
Next, we substitute this expression for x in the second equation:
14x - 5y = 9
14(2y + 3) - 5y = 9
28y + 42 - 5y = 9
23y + 42 = 9
23y = -33
y = -33/23
Substituting this value of y back into the first equation, we can find the value of x:
x = 2(-33/23) + 3
x = -66/23 + 69/23
x = 3/23
Therefore, the solution to the system of equations is (x, y) = (3/23, -33/23).