![kay4451](/avatars/48721.jpg)
kay4451
20.12.2019 •
Mathematics
Me plz
find the soultion to the system of linear equation using the elimination method.
1. 2x – 3y = -2
2x + y = 14
2. x = -6y - 3
8x + 8y = -24
3. 5x + 5y = 20
-3x + 5y =4
Solved
Show answers
More tips
- C Computers and Internet How to Learn to Type Fast?...
- A Art and Culture Who Said The Less We Love a Woman, the More She Likes Us ?...
- F Family and Home Parents or Environment: Who Has the Most Influence on a Child s Upbringing?...
- H Health and Medicine Is it true that working with a computer is harmful to your eyesight?...
- H Health and Medicine Boosting Immunity: A Complete Guide on How to Improve Your Body’s Natural Defenses...
- P Philosophy Unidentified Flying Object - What is the Nature of this Phenomenon?...
- C Computers and Internet How to Teach Older Generations to Work with Computers?...
- G Goods and services How to Choose a Coffee Maker? The Ultimate Guide for Coffee Lovers...
- C Computers and Internet Porn Banner: What It Is and How to Get Rid Of It?...
- F Food and Cooking How many stages of coffee roasting are there?...
Answers on questions: Mathematics
- M Mathematics Simplify the following expressions 7 — 15c — 11 —8x — 5x + 14 — 19 16q — 2q 13(—15 + 3m) 15b — 10 (—4b — 13)...
- M Mathematics Which of the following relations represent a function? A. {(-1,-1),(0,0),(2,2),(5,5)}. B. None of these. C. {(0,3),(0,-3),(-3,0),(3,0). D. {(-2,4),(-1,0),(-2,0),(2,6)...
- M Mathematics Seth wants to buy a helmet as well. A new helmet costs $46.50. Seth thinks he can work 6 hours on Saturday to earn enough money to buy the helmet. Is he correct?...
- M Mathematics Write a rule for the translation of △ABC to △A′B′C′. A rule for the translation is (x,y)...
- S Social Studies Sandra is informed by a pediatrician that her four-year-old son, Manuel, has gained six pounds over the last one year. Sandra should...
- S Social Studies The europeans divided Africa according to mineral sand did not consider the people of africa...
- M Medicine What are some fun facts about babies...
Ответ:
(1) x = 5 , y = 4
(2) x = -3 and y = 0
(3) x = 2 and y = 2
Step-by-step explanation:
(1) 2x - 3y = -2 equation 1
2x + y = 14 equation 2
solving the system of linear equation by elimination method. We need to decide the variable to eliminate first , in this case , since the coefficient of x are the same and they have the same signs (+), we can eliminate the variable x first by subtracting equation 1 from equation 2, so we have
2x - 2x + y - (-3y ) = 14 - ( - 2)
4y = 16
divide through by 4
y = 4
substitute y = 4 into equation 1 , we have
2x - 3 (4) = -2
2x - 12 = -2
2x = -2 + 12
2x = 10
x = 5
Therefore :
x = 5 and y = 4
(2) x = -6y - 3 equation 1
8x + 8y = -24 equation 2
Solving the system of linear equation by substitution method , substitute x = -6y - 3 into equation 2 , equation 2 becomes
8(-6y - 3 ) + 8y = -24
expanding , we have
-48y - 24 + 8y = -24
-40y - 24 = -24
Add 24 to both sides , we have
- 40y = -24 + 24
-40y = 0
divide through by -40
y = 0/-40
y = 0
substitute y = 0 into equation 1 , equation 1 then becomes
x = -6(0) - 3
x = -3
Therefore : x = -3 and y = 0
(3) 5x + 5y = 20 equation 1
-3x + 5y = 4 equation 2
solving the system of linear equation by elimination method , we have to decide the variable to eliminate first , since the coefficient of y are the same and are both positive, we will eliminate y by subtracting equation 2 from equation 1 , we have
5x - (-3x) + 5y - 5y = 20 - 4
5x + 3x + 0 = 16
8x = 16
x = 2
substitute x = 2 into equation 1 , equation becomes
5(2) + 5y = 20
10 + 5y = 20
5y = 20 - 10
5y = 10
y = 2
Therefore : x = 2 and y = 2
Ответ:
544• .15= 81.6
544+81.6=
625.6