SOLUTION: what is the solution set of this simultaneous equation 2x + 3y = 10 and 3x - 2y = 2 ?

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Question 1095521: what is the solution set of this simultaneous equation 2x + 3y = 10 and 3x - 2y = 2 ?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
2x + 3y = 10
3x - 2y = 2
multiply the top by 2 and the bottom by 3
4+6y=20
9x-6y=6. Now add them
13x=26
x=2
substitute into the first and get 4+3y=10, y=2
check in the second and 6-4=2
{2, 2}