If a = 2b +c, b = 2c + d, 2c = d+a -1, d =a - c. Find b
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Answer: b=2/9
Step-by-step explanation:
a=2b+c
b=2c+d
⇒ b= 2c+a-c = c+a
b=c+a
2c=d+a-1
since d=a-c we can substitude the value of d to the expression
⇒2c= a-c+a-1 = 2a-c
c=b-a { b=a+c so c= b-a]
3(b-a)=2a-1
=3b-3a=2a-1
3b= 5a-1 → equation 1
a=2b+b-a
0=3b-2a
2a=3b
3b=2a→ equation 2
subtracting equation 1 and 2 we get , 0=3a-1
3a=1
a=1/3
substuting the value 3b=2a
3b=[1/3]*2
3b=2/3
b=2/3*1/3 =2/9
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