![robert7248](/avatars/16724.jpg)
robert7248
09.07.2019 •
Mathematics
Will give brainliest- 20 points (answers must be right before i pick) y=-1/2–x + 4 x + 2y=–8 how many solutions does this linear system have? one solution: (8, 0) one solution: (0, 8) no solution infinite number of solutions
Solved
Show answers
More tips
- F Food and Cooking How to Properly Cook Buckwheat?...
- F Food and Cooking How Many Grams Are In a Tablespoon?...
- L Leisure and Entertainment Carving: History and Techniques for Creating Vegetable and Fruit Decorations...
- P Photography and Videography How to Choose the Perfect Photo Paper for Your Images?...
- H Health and Medicine What vaccines do children need?...
- H Health and Medicine Reasons for the Appearance of Warts: Everything You Need to Know...
- A Art and Culture How to Learn Screaming: Step-by-Step Guide for Beginners...
- H Health and Medicine Contraceptive Pills After 35: The Importance Of Choosing The Right Medication...
- C Computers and Internet How to Choose a Monitor?...
- H Horoscopes, Magic, Divination Where Did Tarot Cards Come From?...
Answers on questions: Mathematics
- M Mathematics 53 freshman were interviewed about the classes they were taking this semester 24 said they were taking science 22 said they were taking math 17 said they were taking english 7 said...
- M Mathematics Radius: Diameter: 28 Circumference: Area: Please help!!!...
- M Mathematics a study on students drinking habits asks a random sample of 60 male uf students how many alcoholic beverages they have consumed in the past week. the sample reveals an average of...
- E English Which of the following expresses a complete sentence? By the time Frances found out how expensive the wallpapering job would be. After getting estimates from five contractors, she...
- E English What is the goddess Persephone known for?...
- B Biology Please help I don’t know the answer to this question....
Ответ:
Step-by-step explanation:
Given system of linear equations:
y=-1/2x + 4 and
x + 2y=-8.
Let us convert second equation in slope intercept form too.
x + 2y=-8
Subtracting x from both sides, we get
x -x+ 2y=-8-x
2y = -x-8
Dividing both sides by 2, we get
2y/2 = -x/2-8/2
y = -1/2 x - 4.
Let us find slope and y-intercept of each of the equation.
Slope-intercept form of a linear equation is y = mx+b, where m is the slope and b is y-intercept.
On comparing first equation y=-1/2x + 4 by slope-intercept form y = mx+b slope is -1/2 and y-intercept is 4.
For the second equation y = -1/2 x - 4 slope is -1/2 and y-intercept is -4.
Note: Slopes of both equations are same but y-intercepts are different.So, the lines would be parallel and would not cut at any point.So, the system of equation would not have any solution.Therefore, correct option is 3rd option:
No solution.Ответ: