SOLUTION: solve the simultaneous equation 16^x × 4^y=64 25^x ÷ 125^y = squareroot 5 Managed 4^2x × 4^y =4^3 4^2x+y =4^3 2x+y =3

Algebra ->  Expressions-with-variables -> SOLUTION: solve the simultaneous equation 16^x × 4^y=64 25^x ÷ 125^y = squareroot 5 Managed 4^2x × 4^y =4^3 4^2x+y =4^3 2x+y =3      Log On


   

Question 855513: solve the simultaneous equation
16^x × 4^y=64
25^x ÷ 125^y = squareroot 5
Managed
4^2x × 4^y =4^3
4^2x+y =4^3
2x+y =3
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
From the two given equations,
%282%5E4%29%5Ex+%2A%282%5E2%29%5Ey=2%5E6
2%5E%284x%2B4y%29=2%5E6
highlight%284x%2B4y=6%29
and
%285%5E2%29%5Ex%2F%285%5E3%29%5Ey=5%5E%281%2F2%29
5%5E%282x-3y%29=5%5E%281%2F2%29
highlight%282x-3y=1%2F2%29
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Your system to solve is then this:
4x%2B4y=6 and 2x-3y=1%2F2
Simplification gives you:
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highlight%282x%2B2y=3%29 and highlight%284x-6y=1%29
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You should now find this system easier to handle.