For the following system of equations, what is the x-value of the solution?
–x + 2y = 6
6y = x + 18
A.-18
B.0
C.-6
D.3
I think its B??
did you plug in the values to see whether they fit?
(0,3) does the job, so B it is.
Go through the same process I demonstrated in your later post.
To find the x-value of the solution for the given system of equations, we need to solve the system. Let's go through the steps to solve it.
Step 1: Simplify the second equation
Start by rearranging the second equation to isolate x:
6y = x + 18
Subtract 18 from both sides:
x = 6y - 18
Step 2: Substitute the expression for x into the first equation
We can substitute the value of x from the second equation into the first equation:
-(-x + 2y) = 6
Simplify:
x - 2y = 6
Now replace x with 6y - 18:
6y - 18 - 2y = 6
Combine like terms:
4y - 18 = 6
Add 18 to both sides:
4y = 24
Divide both sides by 4:
y = 6
Step 3: Substitute the value of y back into the second equation to find x
Using the equation x = 6y - 18 and substituting y = 6:
x = 6(6) - 18
x = 36 - 18
x = 18
Now that we have found the x-value of the solution, we can check which option matches it.
Checking the options:
A. -18: Not the answer we found.
B. 0: Not the answer we found.
C. -6: Not the answer we found.
D. 3: Not the answer we found.
None of the options match the x-value we found, which means there might be an error in the given options or the calculation. Please double-check your work or consult with the source that provided the options.