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44 votes
44 votes
......................,.,................​

......................,.,................​-example-1
User Tolani
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1 Answer

20 votes
20 votes

a=6, b=2

Explanation:

Use simplification into substitution

(a)/(3) =1+(2)/(b)


a=3(1+(2)/(b))


a=3+(6)/(b)

We can now plug this value of a into the second equation.


(3+(6)/(b) )/(4) +(3)/(b) =3

Get rid of fractions in the numerators and/or denominators


(3b+6)/(4b) +(3)/(b) =3

Then we can match the denominators


(3b+6)/(4b) +(12)/(4b) =3

Combine


(3b+18)/(4b) =3

Divide both sides by three


(b+6)/(4b) =1

Get rid of fractions


b+6=4b

Single out b


6=3b


b=2

Now we can plug it into the equation


(a)/(3) -(2)/(2) =1


(a)/(3) =2


a=6

Now we can check it;


(6)/(3) -(2)/(2) =1

↑CORRECT


(6)/(4) +(3)/(2) =3

↑CORRECT

User Tasnuva Leeya
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