Is it more convenient to solve the equation 0.25x+7= 1 3 x−8 0.25x+7=13x−8 using fractions or decimals? explain.

given eqaution: 0.25x+7= 1/3(x−8).

we have a decimal value 0.25 on left side and a fraction 1/3 on right side of the equation.

if we convert 1/3 in decimal it would give as 1/3 = 0.

it would give us a repeating non-terminating decimal.

so, we can't find exact decimal value of 1/3.

therefore, in order to solve the given equation, it would be better to get rid fraction first.

to get rid fraction, we need to multiply both sides each term by the number in denominator of the fraction.

we have 3 in the denominator of 1.

so, we need to multiply both sides by 3.

let us try to solve the given equation now.

3*0.25x+3*7= 3*1/3(x−8).

0.75x+ 21 = (x-8)           (3*1/3 would give 1 on on rigth side)

0.75x +21 = x-8.

subtracting 21 from both sides, we get

0.75x +21-21 = x-8-21

0.75x = x-29.

subtracting x from both sides, we get

0.75x -x = x-x-29.

-0.25x = -29.

dividing both sides by -0.25, we get

-0.25x/-0.25 = -29/-0.25

x=116.

answer: x

step-by-step explanation:

7.3

step-by-step explanation: