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Math Help - finding t?

  1. #1
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    finding t?

    hey guys, i need to know how to solve this problem..

    7t-2/5 = t+4/3

    find t ?

    btw they are two fractions.

    if anyone can give me the run down from start to finish that would be excellent.

    jvignacio.
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  2. #2
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    Hello, jvignacio

    Solve: . \frac{7t-2}{5}\;=\;\frac{t+4}{3}

    Multiply both sides by the LCD, 15:

    . . 15\cdot\frac{7t-2}{5} \;=\;15\cdot\frac{t+4}{3}\quad\Rightarrow\quad 3(7t-2) \;=\;5(t+4)

    . . 21t - 6 \:=\:5t+20 \quad\Rightarrow\quad 16t \:=\:26


    Therefore: . t \:=\:\frac{26}{16} \:=\:\boxed{\frac{13}{8}}

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  3. #3
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    Quote Originally Posted by Soroban View Post
    Hello, jvignacio


    Multiply both sides by the LCD, 15:

    . . 15\cdot\frac{7t-2}{5} \;=\;15\cdot\frac{t+4}{3}\quad\Rightarrow\quad 3(7t-2) \;=\;5(t+4)

    . . 21t - 6 \:=\:5t+20 \quad\Rightarrow\quad 16t \:=\:26


    Therefore: . t \:=\:\frac{26}{16} \:=\:\boxed{\frac{13}{8}}
    hey thank you! quick question - how did you get this...


    . . 3(7t-2) \;=\;5(t+4)

    from


    15\cdot\frac{7t-2}{5} \;=\;15\cdot\frac{t+4}{3}
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  4. #4
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    Hello again, jvignacio!

    Quick question

    How did you get this: . 3(7t-2) \;=\;5(t+4)

    from: . 15\cdot\frac{7t-2}{5} \;=\;15\cdot\frac{t+4}{3}

    Just reduce: . \not{1}\!\!\!\!\not{5}^3\cdot\frac{7t-2}{\not{5}} \;=\;\not{1}\!\!\!\!\not{5}^5\cdot\frac{t+4}{\not{  3}} \quad\Rightarrow\quad 3(7t-2)\:=\:5(t+4)

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