We'll use Cramer's rule for 2 equations:
ax + by = e
cx + dy = f
5x -3y = 18 a=5 b=-3 e=18
2x + 7y = -1 c=2 d=7 f=-1
denominator determinant (dn) = (a * d) - (c * b) = 5 * 7 - (2 * -3) = 41
x = [(e * d) - (f * b)] / dn
[18 * 7 - (-1 * -3)] / 41 =
123 / 41 = 3
y = [(a * f) - (c * e)] / dn
= (5 * -1) -(2 * 18) / 41 =
-41 / 41 = -1
Source:
1728.com/cramer.htm
Answer:
There is one 12/4 in 3.
Step-by-step explanation:
12/4 = 3
4/4 + 4/4 + 4/4 = 12/4 = 3
Use the are formula for a rectangle which is Length times Width to find the amount of square feet of carpeting.(16 times 14=224ft^2) Then you need multiply 224 by 12 because you have 224 square feet at $12 per square foot. So in the end it will cost $2688 to get the new carpet.
Answer: y = -x + 7
Step-by-step explanation:
The slope is
, so we know the equation is of the form
.
Substituting in the coordinates (1,6) to find b,

Thus, the equation is y = -x + 7
36 divided by 6 is like sharing 36 orranges among 6 people
a a a a a a|---------------------------1st Person
a a a a a a|---------------------------2nd Person
a a a a a a|---------------------------3rd Person
a a a a a a|---------------------------4th Person
a a a a a a|---------------------------5th Person
a a a a a a|---------------------------6th Person
Each person receives 6 oranges evenly so 36/6 = 6
I used this strategy because it is the easiest to understand