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Solve the following systems by elimination:
Solution:
Consider the given equations above
Did you notice that x², y², and -3y will be cancelled if you change the sign of the second equation and then perform the addition with the first equation? Well, if that's the case, we can solve for the value of x as follows
Substitute the value of x to either of the two equations in order to get the value of y, we have
If you equate each factor to zero, then the values of y are 0 and 3.
Therefore, the solutions of the two equations are: