Multiple Choice For the following system of equations, what is the x-value of the solution?
-x + 2y = 6
6y = x + 18
(1 point)
-18
0
-6
3
The x-value of the solution for the given system of equations can be found by solving the equations. Let's solve the system of equations:
From the first equation:
-x + 2y = 6
Rearranging this equation, we have:
x = 2y - 6
Substituting this value of x into the second equation, we get:
6y = (2y - 6) + 18
Simplifying this equation, we have:
6y = 2y + 12
Subtracting 2y from both sides, we get:
4y = 12
Dividing both sides by 4, we get:
y = 3
Now, substituting this value of y back into the first equation, we get:
-x + 2(3) = 6
Simplifying this equation, we have:
-x + 6 = 6
Subtracting 6 from both sides, we get:
-x = 0
Dividing both sides by -1, we get:
x = 0
Therefore, the x-value of the solution is 0.
The correct answer is:
0