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What is 3/2+ t = 1/2

User Elena Filatova
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2 Answers

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STEP BY STEP EXPLANATION;

1.To solve the equation,the least common multiple of the denominators must be found.

LCM=2

Therefore,

3/2 +t =1/2

2.Each term must be multiplied by the LCM.

i.e

2(3/2)+2(t)=2(1/2)

3+2t=1

2t=1-3 ( subtracting 3 from each side of the equation)

2t=1-3

2t/2=-2/2 (dividing both sides of the equation by the co-efficient of t)

t=-1

User MartinByers
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21 votes
21 votes

Answer:

t=-1

Explanation:

To find the value of t, isolate it on one side of the equation.


\sf{(3)/(2)+t=(1)/(2)}

First, you subtract by 3/2 from both sides.


\Longrightarrow: \sf{(3)/(2)+t-(3)/(2)=(1)/(2)-(3)/(2)}

Solve.

1/2-3/2

1-3/2

1-3=-2

-2/2

Divide.

-2/2=-1


\Longrightarrow: \boxed{\sf{t=-1}}

Therefore, the solution is t=-1, which is our answer.


I hope this helps, let me know if you have any questions.