a+b=55a÷3+b+5=13b=
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a+b=55a÷3+b+5=13b=
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Substitute the value of a from the first equation into the second equation:
(55/3) + b + 5 = 13
Multiply through by 3 to eliminate the fraction:
55 + 3b + 15 = 39
Combine like terms:
3b + 70 = 39
Subtract 70 from both sides:
3b = -31
Divide both sides by 3:
b = -31/3
Now substitute this value of b back into the first equation to solve for a:
a + (-31/3) = 55
Multiply through by 3 to eliminate the fraction:
3a - 31 = 165
Add 31 to both sides:
3a = 196
Divide both sides by 3:
a = 196/3
Therefore, a = 196/3 and b = -31/3.
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