![adriannar20011](/avatars/2303.jpg)
adriannar20011
13.04.2021 •
Mathematics
Help ASAP
Here is a system of linear equations: -2x + y = 7
6x + y = 11
What is the solution to the system of equations shown?
A
(1/4, 7 1/2)
B.
(2, 11)
c.
(1/2, 8)
D.
(3, -7)
Yes
Solved
Show answers
More tips
- F Food and Cooking Discovering the Benefits of Kiwi: From Its Nutritious Properties to Its Unusual Benefits...
- S Style and Beauty Discover the Art of Nail Design: How Do You Paint Your Nails?...
- P Philosophy How to Develop Extrasensory Abilities?...
- O Other Everything You Need to Know About Kudyabliks...
- C Computers and Internet The Twitter Phenomenon: What it is and How to Use it...
- C Computers and Internet How to Choose a Laptop: Expert Guide and Tips...
- C Computers and Internet How to Choose a Monitor?...
- H Horoscopes, Magic, Divination Where Did Tarot Cards Come From?...
- S Style and Beauty How to Make Your Lips Fuller? Ideas and Tips for Beautiful Lips...
- C Computers and Internet How to Learn to Type Fast?...
Answers on questions: Mathematics
- H History Q: Verify that the following differential equation is exact and solve by the four-step procedure. (i) (1 + 2) + (1 + ) = 0...
- M Mathematics How many non-identical triangles can be made using these side lengths: 4 cm, 8 cm, and 14 cm? A Zero triangles B One triangle C More than one triangle Explain your...
Ответ:
c. (1/2, 8)
Step-by-step explanation:
To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.
Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.
-2x + y = 7
Step 1: Subtract y from both sides of the equation.
-2x = -y + 7
Step 2: Divide both sides by -2
x = 1/2y - 7/2
Substitute what you see above this statement for y in the other equation.
6(1/2y - 7/2) + y = 11
Step 3: Multiply 6 by 1/2y - 7/2.
3y - 21 + y = 11
Step 4: Combine y and 3y.
4y - 21 = 11
Step 5: Add 21 to both sides
4y = 11 + 21
4y = 32
Step 6: Divide both sides by 4.
y = 32/4
y = 8
Step 7: Substitute 8 for y in x = 1/2y - 7/2 Because the resulting equation contains only one variable, you can solve for x directly.
x = 1/2(8) - 7/2
Step 8: Multiply 1/2 by 8.
x = 4 - 7/2
Step 9: Add -7/2 to 4.
x = 1/2
The system is now solved, and we get C (1/2, 8) as our answer.
Ответ:
C
Step-by-step explanation:
I did the test myself
Ответ:
2^5
Step-by-step explanation: