1. The arithmetic mean of roots of the quadratic equation x^2- 10x+16=0 is
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The linear combination method is the same as the elimination method. Let's multiply the second equation by -2 so the x terms cancel each other out. When we do that we get a system of 
and 
. The x-terms cancel each other out giving us 
and y = -3. Now sub -3 into one of the equations to solve for x. x+2(-3)=-4, and x - 6 = -4. x = 2. So the solution for our system is (2, -3)