The steps we take to determine whether a number is a solution to an equation are the same whether the solution is a whole number, an integer, or a fraction.
Determine whether a number is a solution to an equation.
Substitute the number for the variable in the equation.
Simplify the expressions on both sides of the equation.
Determine whether the resulting equation is true. If it is true, the number is a solution. If it is not true, the number is not a solution.
Determine whether each of the following is a solution of
$x-\frac{3}{10}=\frac{1}{2}.$
ⓐ$x=1$
ⓑ$x=\frac{4}{5}$
ⓒ$x=-\frac{4}{5}$
Solution
ⓐ
Change to fractions with a LCD of 10.
Subtract.
Since
$x=1$ does not result in a true equation,
$1$ is not a solution to the equation.
ⓑ
Subtract.
Since
$x=\frac{4}{5}$ results in a true equation,
$\frac{4}{5}$ is a solution to the equation
$x-\frac{3}{10}=\frac{1}{2}.$
ⓒ
Subtract.
Since
$x=-\frac{4}{5}$ does not result in a true equation,
$-\frac{4}{5}$ is not a solution to the equation.
In other words, when you add or subtract the same quantity from both sides of an equation, or divide both sides by the same quantity, you still have equality.
Solve:
$y+\frac{9}{16}=\frac{5}{16}.$
Solution
Subtract
$\frac{9}{16}$ from each side to undo the addition.
Simplify on each side of the equation.
Simplify the fraction.
Check:
Substitute
$y=-\frac{1}{4}$ .
Rewrite as fractions with the LCD.
Add.
Since
$y=-\frac{1}{4}$ makes
$y+\frac{9}{16}=\frac{5}{16}$ a true statement, we know we have found the solution to this equation.
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
what is the actual application of fullerenes nowadays?
Damian
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
what is the Synthesis, properties,and applications of carbon nano chemistry
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Harper
Do you know which machine is used to that process?
Privacy Information Security Software Version 1.1a
Good
A soccer field is a rectangle 130 meters wide and 110 meters long. The coach asks players to run from one corner to the other corner diagonally across. What is that distance, to the nearest tenths place.
Jeannette has $5 and $10 bills in her wallet. The number of fives is three more than six times the number of tens. Let t represent the number of tens. Write an expression for the number of fives.
why surface tension is zero at critical temperature
Shanjida
I think if critical temperature denote high temperature then a liquid stats boils that time the water stats to evaporate so some moles of h2o to up and due to high temp the bonding break they have low density so it can be a reason
s.
Need to simplify the expresin. 3/7 (x+y)-1/7 (x-1)=