Can you solve the equation 2/3(4x - 5)= 8 by using the division property of equality? explain.

1 answer:

8 0

$\dfrac{2}{3}(4x-5)=8\qquad|\text{use the division property of equality}\\\\\dfrac{2}{3}(4x-5):\dfrac{2}{3}=8:\dfrac{2}{3}\\\\\dfrac{2}{3}(4x-5)\cdot\dfrac{3}{2}=8\cdot\dfrac{3}{2}\\\\4x-5=4\cdot3\\\\4x-5=12\qquad|\text{use addition property of equality}\\\\4x-5+5=12+5\\\\4x=17\qquad|\text{use the division property of equality}\\\\4x : 4=17:4\\\\x=\dfrac{17}{4}$

You might be interested in

city workers are paving a street that is 1 1/2 miles long. if they repave 1/4 mile per day, how long will it take to repave the

Pie

The question is to find out how many times 1/4 is equal to 1 1/2
First lets convert the total:
1 1/2 = 2/2 + 1/2 = 3/2
now we need to find out a number that multiplied by 1/4 gives 3/2, that is an equation:
(1/4)x = 3/2
and solving for x:
x = (3/2)*4
x = 12/2
x = 6
therefore they will take 6 days to repave the whole street

7 0

2 years ago

A police car leaves a crime scene heading east directly towards the hospital at 72 kilometres per hour. An ambulance leaves a qu

Vaselesa [24]

Answer:

I'm not sure what the answer is but I will tell you when I get it

8 0

2 years ago

Write 5.306 in word form.

elena-14-01-66 [18.8K]

Five and three hundred and six thousandths.

3 0