Start by writing the system down, I will use 
to represent 
Substitute the fact that 
into the first equation to get,
Simplify into a quadratic form (
),
Now you can use Vieta's rule which states that any quadratic equation can be written in the following form,
which then must factor into
And the solutions will be 
.
Clearly for small coefficients like ours 
, this is very easy to figure out. To get 5 and 6 we simply say that 
.
This fits the definition as 
and 
.
So as mentioned, solutions will equal to but these are just x-values in the solution pairs of a form 
.
To get y-values we must substitute 3 for x in the original equation and then also 2 for x in the original equation. Luckily we already know that substituting either of the two numbers yields a zero.
So the solution pairs are 
and 
.
Hope this helps :)
Answer:
$31.37 is the sale price
Step-by-step explanation:
All you need to do to find the discount price (sale price) is multiply the price of the item by the decimal form of the percentage.
1. Store A. 40% off the original price of $159.99
63.996 is the discount price we are looking for
2. Store B. 25% off the original price of $130.50
32.625 is the discount price we are looking for
3. Now to find their difference you just subtract the two values.
The discount price (sale price) is $31.371
Answer:
30%
Step-by-step explanation:
In this case, we have a positive change (increase) of 30% because the new value is greater than the old value. Using this tool you can find the percent increase for any value.
Hope this helps!
Brain-list?
<span>Melvina's age is = x, Bettina's age is = 3x
the equation is
x + 20 = 3x - 20
subtract 3x from both sides
-(3x) + x +20 = 3x - 20 - (3x)
-2x + 20 = -20
subtract 20 from both sides
-2x + 20 - (20) = -20 - (20)
-2x = - 40
divide both sides by -2
(-2x)/-2 = (-40)/-2
x = 20
Melvinas age is 20 and Bettinas age is 60</span>
