已知2A+4B=36,4A+2B=42.  A=______,B=______

已知2A+4B=36,4A+2B=42.  A=______,B=______.

由2A+4B=36可得4A+8B=72,
所以4A=72-8B①,把①代入4A+2B=42,
即72-8B+2B=42,
72-42+8B-8B+2B=42-42+8B,
         30+2B=8B,
      30+2B-2B=8B-2B,
            6B=30,
             B=5;
把B=5代入4A+2B=42,
 4A+2×5=42,
   4A+10=42,
4A+10-10=42-10,
      4A=32,
   4A÷4=32÷4,
       A=8;
答:A是8,B是5.
故答案为:8,5.
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