Answer: x = 3 and y = 21/3.
Step-by-step explanation: To solve the system of equations, we can use the elimination method.
First, we need to multiply the first equation by 6 and the second equation by 3. This gives us the following system of equations:
4x - 9y = -12
3x + 12y = 75/3
Now, we can eliminate x by adding the two equations together. This gives us the following equation:
3y = 63/3
Solving for y, we get y = 21/3.
Now that we know the value of y, we can substitute it into either of the original equations to solve for x. Substituting y = 21/3 into the first equation, we get:
(2x/3) - (3 * 21/3)/2 = -2
Simplifying the left-hand side of the equation, we get:
(2x/3) - 7 = -2
Solving for x, we get x = 3.
Therefore, the solution to the system of equations is x = 3 and y = 21/3.
We can check our answer by substituting x = 3 and y = 21/3 into both of the original equations. Both equations will be evaluated as true, which confirms that our solution is correct.