Chapter 0.5, Problem 21E

To determine

To solve the equation $8t+1=3t-19$

Answer to Problem 21E

  $l=4$

Explanation of Solution

Given Information: $8t+1=3t-19$

Formula Used : Linear equations with one variable

Calculation:

Given equation is

  $8t+1=3t-19$

To bring the variable t together, subtract 8t from both side-

  $8t-8t+1=3t-8t-19$

This gives

  $1=-5t-19$

To simplify further, adding 19 both side-

  $1+19=-5t-19+19$

This gives

  $20=-5t$

To isolate the variable t, divide by -5 from both sides-

  $\frac{20}{-5}=\frac{-5}{-5}t$

To simplify further, writing 20 as its factors-

  $\frac{5\times 4}{-5}=t$

Hence the final answer is-

  $t=-4$