Final answer:
The presentation of the question suggests a typo in the simultaneous equations. Assuming a likely intended pair of equations, the step-by-step solving process does not lead to any given answer choice, indicating the necessity of the correct second unique equation to find the values of x and y.
Step-by-step explanation:
The question requires solving the simultaneous equations to find the values of x and y. However, there seems to be a typo in how the question is presented as it repeats the first equation and omits what should be the second equation for a proper system of two unique linear equations. Considering the common form 4x - 3y = 18, we need another unique equation in the format of ax + by = c to solve for x and y. Without this, we cannot provide a definitive solution to the simultaneous equations.
If a second unique equation was provided such as x - 3y = 7, we could then apply elimination or substitution methods to solve for x and y. Let's assume that this was the intended question for solving:
- 4x - 3y = 18 (Equation 1)
- x - 3y = 7 (Equation 2)
To solve these simultaneous equations, you can first simplify Equation 2 by solving for x:
x = 3y + 7 (Equation 3)
Then substitute Equation 3 into Equation 1:
4(3y + 7) - 3y = 18
Expand and solve for y:
12y + 28 - 3y = 18
9y + 28 = 18
9y = -10
y = -10/9
Now, substitute the value of y back into Equation 3:
x = 3(-10/9) + 7
x = -30/9 + 63/9
x = 33/9
x = 11/3
Therefore, the solution for the simultaneous equations would be x = 11/3 and y = -10/9, which does not match any of the answer choices given, indicating the need for the correct second equation to accurately complete this problem.