Solving equations solving equations: x + | 2x + y | = 10, x-2y = 8 To solve the equations: x + | 2x + y | = 10 x-2y=8

Solving equations solving equations: x + | 2x + y | = 10, x-2y = 8 To solve the equations: x + | 2x + y | = 10 x-2y=8


x+|2x+y|=10
x-2y=8
From x-2y = 8 we get x = 8 + 2Y
Substituting x = 8 + 2Y into x + | 2x + y | = 10
8+2y+|2(8+2y)+y|=10
Y = - 2 of the solution
Substituting y = - 2 into x = 8 + 2Y
The solution is x = 4
So x = 4
y=-2



If x = - 2, y = 3 is not only the solution of the equation x-2y = m, but also the value of the equation 2x + y = n, find the value of the square of m-4n
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X = - 2; y = 3;
-2-6=m;
m=-8;
-4+3=n;
n=-1;
∴m²-4n
=64+4
=68;
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Define a new operation with "&". "#": for any rational number A.B, there are a & B = A and a # - B = B, for example, 3 & 2 = 3, 3 # - 2 = 2, find the result of (2009 & 2008) & (2007 # - 2006)


a&b=a,a#b=b,
(2009&2008)&(2007#2006)
=(2009)&(2006)
=2009