Let's solve this problem step-by-step.
STEP-BY-STEP SOLUTION:
Let the original price = x
To begin with, we will convert the word problem into an equation as displayed below:
( x / 2 ) - 8 = 18
Now, to find the original price we will simply make ( x ) the subject and solve accordingly as displayed below:
( x / 2 ) - 8 = 18
( x / 2 ) = 18 + 8
( x / 2 ) = 24
x = 24 × 2
x = $48
CHECKING THE ANSWER:
In order to check if the answer is correct, simply substitute the value of x into the original equation and solve. If the left-hand and right-hand side are equivalent, then the answer is correct as displayed below:
( x / 2 ) - 8 = 18
( 48 / 2 ) - 8 = 18
24 - 8 = 18
18 = 18
Therefore, the answer is:
x = $48
first , set the function equal to zero
now we can use this expression to factor
![x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%5Cpm%5Csqrt%5B%5D%7Bb%5E2-4ac%7D%7D%7B2a%7D)
where a is 6, b is 1 and c -2
so, replacing
![\begin{gathered} \frac{-(1)\pm\sqrt[]{1^2-4(6)(-2)}}{2(6)} \\ \\ \frac{-1\pm\sqrt[]{1+48}}{12} \\ \\ \frac{-1\pm\sqrt[]{49}}{12} \\ \\ x=\frac{-1\pm7}{12} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7B-%281%29%5Cpm%5Csqrt%5B%5D%7B1%5E2-4%286%29%28-2%29%7D%7D%7B2%286%29%7D%20%5C%5C%20%20%5C%5C%20%5Cfrac%7B-1%5Cpm%5Csqrt%5B%5D%7B1%2B48%7D%7D%7B12%7D%20%5C%5C%20%20%5C%5C%20%5Cfrac%7B-1%5Cpm%5Csqrt%5B%5D%7B49%7D%7D%7B12%7D%20%5C%5C%20%20%5C%5C%20x%3D%5Cfrac%7B-1%5Cpm7%7D%7B12%7D%20%5Cend%7Bgathered%7D)
x has two values
we have the two roots now we chang the sign and make the factor expression
I believe its the second choice.
1. y = 2/3x - 5
2. 4x - 6y = 30
Divide 2. by 2
3. 2x - 3y = 15
Substitute 1. into 3.
4. 2x - 3(2/3x - 5) = 15
5. 2x - 2x + 15 = 15
6. 15 = 15
False. There are an infinite number of solutions.
