If X 3, Y 2 is the solution of the system of equations AX BY 1, AX BY 5, find A to the power of 2007

Solution: Because x=3, y=-2

Substitute ax+by=1

ax-by=5

The results are: a=1, b=1

a^2007+2b^2009=1^2007+2*1^2009=1+2*1=1+2=3

Hehe: I'll answer.

If x=3 and y=-2 are a system of equations ax+by=1, ax-by=5 becomes a system of equations.

3a－2b＝1

3a＋2b=5

Solving the above equation yields a=1 b=1

So the power of 2007 of a + the power of 2 of 2b is equal to 3

Bring in x=3,y=-2 to get a,b

a=1b=1

2007 power of a + 2 power of 2009 = 3

The solution of 2x-y=1 is the same as x+2y=3.

It can be solved: x=1, y=1

Substitute ax+by=1, ax-by=5 in the wisdom shout.

It can be solved: a=3, b=-2

There will be no doubts about the former reputation.

The solution of 2x-y=1 is the same as x+2y=3.

It can be solved: x=1, y=1

Substitute ax+by=1 and ax-by=5.

It can be solved: a=3, b=-2

Absolutely.

The second equation is composed of a system of equations, and the solution of xy is brought into a formula, and the binary system of equations is formed to solve ab.

Substituting x=2 and y=1 into the equation is obtained.

2a-b=4 ①

2a+b=2 ②

Get. 4a=6

a=substituting a=.

2*b=-1

2a-3b=2*

Bring x=2, y=1 into [ax-by=4, ax+by=2] 2a-b=4,2a+b=2, and solve a=,b=-1. Then 2a-3b=6

Hope it helps.

Bring x y into the equation.

2a-b=4

2a+b=2

Because 2a-3b = 2 (2 a-b) - (2a + b) = 8-2 = 6

Solution: x=3, y=-2 is the solution of the system of equations ax+by=1, ax-by=5. So substitution is established: 3a-2b=1; 3a+2b=1

Solution: a=1 3; b=0

So a 2010 + 2b 2010 = (1 3) 2010 (x-3) 2-3y = 0

2（x-3）-11=2y ②

Untie; Think of x-3 as a whole and get from (1): x-3=6y into 2 equations:

12y-11=2y

10y=11

y=11/10

Substituting y=11 10 into x-3=6y gets:

x-3=33/5

x=33/5+3

x=48/5

x=48/5; y=11/10

so easy !Substituting xy respectively, we get a=1=b, and then the power of 1 to the power of 2010 = 1, so the power of a2010 + the power of 2b2010 = 3

That problem is better done, look at x-3 as a whole, we can set it to t, and this commutation method is very important in future learning! Be sure to learn! So t 2 = 3y, 2t - 11 = 2y, solve the system of equations, substitute t t = 6y into the other formula to get 10y = 11, so y = 11 10, t = 11 5, so x = 3 + 11 5, I did it in a bit of a hurry, the answer may not be very correct, but the method is no problem, I hope to adopt!

According to the title of the pretending celebration.

3a-2b=1

3a+2b=5

The hall grip is called a=1

b = 1 to the power of 2013a + 2 to the power of 2013b.

x=3,y=-2, which is the system of equations for the percolation {ax+by=1, ax-by=5 substitution, and the backup key is obtained.

3a-2b=1...1)

3a+2b=5...2)

1) + (2) get.

6a=6a=1

2)-(1) De.

4b=4b=1

Solution. a=1

b = 1 so plexus fluid.

a^2011+2b^2012