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If either of the variable terms would cancel out the corresponding variable term in the other equation, you can use the Elimination Method to solve the system.
(3,-1)
Since neither equation has a variable with a coefficient of 1, we will use the Elimination Method. In this exercise, this means that either the x-terms or the y-terms must cancel each other out.
2 x-3 y=9 & (I) 4 x+3 y=9 & (II)
We can see that the y-terms will eliminate each other if we add (I) to (II).
Now we can solve for y by substituting the value of x into either equation and simplifying.
The solution, or intersection point, of the system of equations is (3,-1).