What are the solutions of the following equation?
4|x -9| +9 = -3|x -9| +9 4∣x−9∣+9=−3∣x−9∣+9

x = 9

Step-by-step explanation:

4∣x−9∣+9 = −3∣x−9∣+9

cancel equal terms on both sides of the equation

the statement is true but only if both sides equal 0

solve the equation for x

divide both sides of the equation by 4

when the absolute value of x - 9 equals 0, then x - 9 = 0

move the constant to the right side and change it´s sign

so the answer would be x = 9

10010010001010010101001001010010100101010010101010010010101010110010001011010010010001

step-by-step explanation:

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.