1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vinil7 [7]
3 years ago
13

Carolyn was asked to solve the following system of equations. Her work is shown. What is the solution to the system of linear eq

uations?

Mathematics
1 answer:
Natalka [10]3 years ago
8 0

Answer:

(11, 13)

Step-by-step explanation:

Carolyn's work is incorrect. Below is the correct solution:

Given:

3x - 2y = 7 ----› Equation 1

y = x + 2 -----› Equation 2

Substitute y = (x + 2) in equation 1

3x - 2y = 7 ----› Equation 1

3x - 2(x + 2) = 7 (substitution)

3x - 2(x) -2(+2) = 7 (distributive property)

[Note: this is where Carolyn made a mistake]

3x - 2x - 4 = 7

Collect like terms

x - 4 = 7

x = 7 + 4 (addition property of equality).

x = 11

Substitute x = 11 in equation 2

y = x + 2 -----› Equation 2

y = 11 + 2 (substitution)

y = 13

✅The solution to the system of equations would be:

(11, 13)

You might be interested in
Can some one can do both​
patriot [66]
A) m=-3
B) n=-17
hope this helps x
would love to have brainliest if it is right :)
8 0
3 years ago
What is the approximate distance around the half circle with radius 12 centimeters?
Katarina [22]
You can find the perimeter of a circle by using the radius.
circumference = 2 \pi r
Circumference = 2 \pi x 12
circumference = 24 pi
Since you are only trying to find half of the circle you would divide your answer by 2 

24pi / 2 = 12 pi

12 pi = 37.68

The answer is B. 37.7
4 0
3 years ago
For the decimal 0.09, (a) write a fraction and (b) write a percent.
sp2606 [1]

Answer:

9/100, 9%

Step-by-step explanation:

0.09 is equal to 9/100

0.09 is equal to 9 percent

3 0
3 years ago
Read 2 more answers
What is the common ratio in this geometric series?
Lerok [7]
For a geometric sequence or geometric series, the common ratio is the ratio of a term to the previous term. This ratio is usually indicated by the variable r. Example: The geometric series 3, 6, 12, 24, 48, . . . has common ratio r = 2.
4 0
3 years ago
Model -2/4+3/4 on a number line
trasher [3.6K]

Answer:

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Simplity the equatur<br> Plug in your answer to double check<br> 4.90 = 10 (x - 12)
    11·1 answer
  • What was the only Northern state in 1860 to allow black male suffrage and jury service
    11·1 answer
  • What is the volume of the cone
    5·1 answer
  • Which associations best describe the scatter plot? Select each correct answer. (A) linear association, (B) positive association,
    12·2 answers
  • Find the correct Multiplication statement: Take away nine sets<br> of 8 forks.
    7·1 answer
  • What is the solution to the linear equation?<br> -12-30-1=-5-5<br> b=-2<br> b=-15<br> b= 15
    14·1 answer
  • (5x²—4x—3)+(—2x²+7x+10)​
    5·2 answers
  • The length of a rectangle is 1 cm more than three times its width. If the perimeter is 38 cm, what are the dimensions of the rec
    8·2 answers
  • REWARDING BRAINLY TO CORRECT ANSWER
    9·2 answers
  • Solve for X and round to the nearest tenth
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!