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Solve the equation.

{:[(5)/(13)=t-(6)/(13)],[t=◻]:}

Solve the equation.\newline513=t613t= \begin{array}{l} \frac{5}{13}=t-\frac{6}{13} \\ t=\square \end{array}

Full solution

Q. Solve the equation.\newline513=t613t= \begin{array}{l} \frac{5}{13}=t-\frac{6}{13} \\ t=\square \end{array}
  1. Write equation: Write down the equation given.\newline(513)=t(613)(\frac{5}{13}) = t - (\frac{6}{13})
  2. Isolate t: To solve for t, we need to isolate it on one side of the equation. We can do this by adding (613)(\frac{6}{13}) to both sides of the equation to move the term involving t to the left side.\newline(513)+(613)=t(613)+(613)(\frac{5}{13}) + (\frac{6}{13}) = t - (\frac{6}{13}) + (\frac{6}{13})
  3. Addition step: Perform the addition on both sides.\newline(513)+(613)=t(\frac{5}{13}) + (\frac{6}{13}) = t
  4. Combine fractions: Add the fractions on the left side.\newline(513)+(613)=(5+6)13(\frac{5}{13}) + (\frac{6}{13}) = \frac{(5 + 6)}{13}\newline(1113)=t(\frac{11}{13}) = t
  5. Final value of t: Write down the final value of tt.t=1113t = \frac{11}{13}

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