3x + 5y = 7
4x + 3y = 2
Both x and y have to be the same numbers!
Answers
(3x + 5y = 7)×(-3)
(4x + 3y = 2)×(5)
-9x - 15y = -21
20x+15y =10 (-15y and and+15y cancels out)
11x = -11
x= -1
substitute the x we found into either original expressions
3(-1) + 5y = 7
-3 + 5y = 7
+3 -3+ 5y = 7+ 3
5y = 10
y=2
Check it!
4(-1)+3(2) = 2
-4 + 6 = 2
2 = 2
3(-1) + 5(2) = 7
-3 + 10 = 7
7 = 7
x= -1
y= 2
Related Questions
The probability that any postcard posted in Portugal on Monday is delivered to the UK within a week is 0.62.The probability that any postcard posted in Portugal on Friday is delivered to the UK within a week is 0.41. Anna is on holiday in Portugal. She posts 15 postcards to the UK on Monday. How many of her postcards can she expect to be delivered within a week? (2 marks)
What is the solution of the system? Use substitution. 3x + 2y = 7 y = –3x + 11 A. (6, -3) B. (6, -7) D. (5, -4)C:
the browns boarded a train at 3.55pm. to go home from the fair. it tookthem 25minutes to get to the station from the fair . they spent 1 hour and 15 minutes at the fair. what time did they arrive at the fair
Log2 + log(4x-1) = 3
So far what I manage to grasp with this equation is
replacing the "x" with 3 So: f(3)= -2e^(3)
The answer ( using the scientific calculator) gave me -6
I have no Idea what are the other steps to this equation.
Answers
x=3
f(3)=-2e^3
pemdas so exponents first
e^3
e=2.718281828454590
cube that
20.0855
now we have
-2 times 20.0855=-40.1711
answer should be -40.1711
(I see what you did wrong, if -6=-2 times e^3, divide -2, 3=e^3, maybe you just put -2 times 3 by mistake)
maybe you had your calculator on the wrong mode or entered it wrong
Answers
3 × 0.65
4.8 × 2
8.1 × 10
6.1 × 7.3
7.22 × 100
Answers
Answer:
48. x 2
Step-by-step explanation:
4.8 x 2
Answers
Complete Question
The front of a podium is in the shape of a trapezoid with base lengths 4 and 8.5 feet. the height is 2 feet. a gallon of paint covers about 350 square feet. Bryan wants to paint the front of the podium blue. He decomposed the shape into two triangles and a rectangle to find the area.
How many front frames of a podium can Bryant paint with 2 gallons of paint?
Answer:
56 front podiums
Step-by-step explanation:
A proper look at the image attached will provide the explanations
Answer:
Step-by-step explanation:
Given:
Base length:
A = 8.5 m
B = 4 m
Height, h = 2 ft
1 gallon = 350 ft^2
Area of trapezoid = 1/2 × (A + B) × h
= 1/2 × (8.5 + 4) × 2
= 12.5 ft^2
1 gallon = 350 ft^2
2 gallons = 700 ft^2
1 podium = 12.5 ft^2
= 700/12.5 podium
= 56 podiums will be painted with 2 gallons of paint.
Answers
So the sample data set would just be seven 9s.
Final answer:
To create a sample data set with n=7, a mean of 9, and a standard deviation of 0, all seven data points must be identical to the mean, resulting in the data set {9, 9, 9, 9, 9, 9, 9}.
Explanation:
To construct a sample data set with n=7, where \(\overline{x}=9\) (x bar is the sample mean), and s=0 (s is the sample standard deviation), follow these steps:
- Understand that if the standard deviation s is zero, all data points in the sample must be identical.
- Since the sample mean \(\overline{x}\) is given as 9, all seven data points in the sample must also be 9 to achieve a standard deviation of 0.
- Thus, the sample data set will simply be {9, 9, 9, 9, 9, 9, 9}.
Remember that the sample mean is calculated as the sum of all data values divided by the number of values (n), and the sample standard deviation measures the amount of variation or dispersion of a set of values. A standard deviation of zero indicates that all values are identical to the mean.
Answers
Answer:
1. 6,200
2. 13 and 26
Step-by-step explanation: