(4, 4/3)
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To solve for (x,y) using the elimination method, we aim to eliminate one variable to solve for the other. Let's start by rewriting the given system of equations:
First, to make the coefficients of y the same, we can multiply equation (1) by 2 and equation (2) by 3:
With both equations now having the same coefficient for y, we can subtract equation (4) from equation (3):
Now we know the value of x, we can substitute it back into either equation (1) or (2) to find y:
The solution to the system of equations is (x, y) = (4, 4/3).