For the following system of equations what is the x-value of the solution -x + 2y = 6 6y = x + 18
To find the x-value of the solution, we can use the second equation to solve for y and substitute it into the first equation.
Rearranging the second equation, we have:
x = 6y - 18
Substituting this into the first equation, we have:
-6y + 2y = 6
Combine like terms:
-4y = 6
Divide both sides by -4:
y = -6/4 = -3/2
Now, substitute this value of y back into the second equation to determine x:
6(-3/2) = x + 18
-9 = x + 18
Subtract 18 from both sides:
-27 = x
Therefore, the x-value of the solution is -27.