Question

For the following system of equations, what is the x-value of the solution?

–x + 2y = 6
6y = x + 18
(1 point)
Responses

–18

0

–6

3

Answer 1

are you sure? write a equation

Answer 2

To find the x-value of the solution, we need to solve the system of equations.

First, let's rearrange the second equation to isolate x:
6y = x + 18
Subtract 18 from both sides:
x = 6y - 18

Now we can substitute this expression for x in the first equation:
–x + 2y = 6
–(6y - 18) + 2y = 6
-6y + 18 + 2y = 6
Combine like terms:
-4y + 18 = 6
Subtract 18 from both sides:
-4y = -12
Divide both sides by -4:
y = 3

Now that we know the value of y, we can substitute it back into the second equation to find the x-value:
6y = x + 18
6(3) = x + 18
18 = x + 18
Subtract 18 from both sides:
x = 0

Therefore, the x-value of the solution is 0. So the answer is 0.

Answer 3

Apologies for the confusion.

To find the x-value of the solution, we can substitute the value of y into one of the equations. Let's use the second equation:

6y = x + 18

Substituting y = 3:

6(3) = x + 18

18 = x + 18

Subtracting 18 from both sides:

0 = x

Therefore, the x-value of the solution is 0.