Answer:
-6x + 6y = 6 (Equation 1)
-6x + 3y = -12 (Equation 2)
We can use the method of elimination, which involves adding or subtracting the equations to eliminate one of the variables.
In this case, we can start by multiplying Equation 2 by 2 to eliminate the x variable:
-6x + 6y = 6 (Equation 1)
-12x + 6y = -24 (Equation 2 multiplied by 2)
Now we can subtract Equation 1 from Equation 2:
-12x + 6y = -24 (Equation 2 multiplied by 2)
-(-6x + 6y = 6) (Equation 1, with the opposite sign)
-6x = -30
Simplifying this expression, we get:
x = 5
Now we can substitute this value of x into either Equation 1 or Equation 2 to solve for y. Let's use Equation 1:
-6x + 6y = 6
-6(5) + 6y = 6
-30 + 6y = 6
6y = 36
y = 6
Therefore, the solution to the system of equations is x = 5 and y = 6, or (5, 6) in coordinate form.
Explanation: