How do you solve $5= \frac { 9+ t } { 4}$ ?

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Answer 1 · 2017-01-27T16:29:36

$t=11$ .

$5=(9+t)/4$

Mulitply BOTH sides by $4$ .

$5xx4=(9+t)/cancel4xxcancel4=20=9+t$

Subtract $9$ FROM BOTH SIDES:

$20-9=cancel9+t-cancel9$

$t=11$

All I have done here is to manipulate BOTH sides of the equality equivalently. What I did to one side, I must do to the other.

Answer 2 · 2017-01-27T16:30:13

See the entire solution process below:

First, multiply each side of the equation by $color(red)(4)$ to eliminate the fraction and to keep the equation balanced.

$5 xx color(red)(4) = (9 + t)/4 xx color(red)(4)$

$20 = (9 + t)/color(red)(cancel(color(black)(4))) xx cancel(color(red)(4))$

$20 = 9 + t$

Now, subtract $color(red)(9)$ from each side of the equation to solve for $t$ while keeping the equation balanced:

$20 - color(red)(9) = 9 + t - color(red)(9)$

$11 = 9 - color(red)(9) + t$

$11 = 0 + t$

$11 = t$

$t = 11$

How do you solve 5= \frac { 9+ t } { 4}5= \frac { 9+ t } { 4}?