Ask Question
MathematicsMathematics
30 March, 09:51

Two systems of equations are shown below:

System A:

6x+y=2

-x-y=-3

System B:

2x-3y=-10

-x-y=-3

Which of the following statements is correct about the two system equations?

A) The value of x for System B will be 4 less than the value of x for System A because the coefficient of x in the first equation of System B is 4 less than the coefficient of x in the first equation of System A.

B) They will have the same solution because the first equations of both the systems have the same graph.

C) They will have the same solution because the first equation of System B is obtained by adding the first equation of System A to 4 times the second equation of System A.

D) The value of x for System A will be equal to the value of y for System B because the first equation of System B is obtained by adding - 4 to the first equation of System A and the second equations are identical.

+5
Answers (1)
  1. 30 March, 11:49
    0
    System A:

    6x + y = 2

    -x - y = - 3

    System B:

    2x - 3y = - 10

    -x-y = - 3

    Solve:

    System A:

    6x + y = 2

    y = 2 - 6x

    -x - (2-6x) = - 3

    -x - 2 + 6x = - 3

    5x = - 3 + 2

    5x = - 1

    x = - 1/5

    y = 2 - 6 (-1/5)

    y = 2 + 6/5

    y = 2 + 1.2

    y = 3.2 System A: x = - 1/5 or - 0.2; y = 3 1/5 or 3.2

    System B:

    2x - 3y = - 10

    2x = - 10 + 3y

    x = - 5 + 1.5y

    -x - y = - 3

    - (-5 + 1.5y) - y = - 3

    5 - 1.5y - y = - 3

    -2.5y = - 3 - 5

    -2.5y = - 8

    y = 3.2

    x = - 5 + 1.5 (3.2)

    x = - 5 + 4.8

    x = - 0.2 System B: x = - 0.2; y = 3.2

    B) They will have the same solution because the first equations of both the systems have the same graph.
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “Two systems of equations are shown below: System A: 6x+y=2 -x-y=-3 System B: 2x-3y=-10 -x-y=-3 Which of the following statements is correct ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers
You Might be Interested in
1 A recipe calls for cup of milk. If you make 3 times the recipe, how much milk do you need? 2 O cups cups 1 2 1 / 2 cups hose cups
Answers (1)
Discribe a series of transformations of the graph of f (x) = x that results in the graph of g (x) = - x+6
Answers (1)
If f (1) = 3 and f (n+1) = 2f (n) is ono to one function
Answers (1)
The principal wanted to buy 8 pencils for every student at her school. If there are 859 students, how many pencils do the principal need to buy?
Answers (1)
Margaret plans to deposit $500 on the first day of each of the next five years, beginning today. if she earns 4% compounded annually, how much will she have at the end of five years?
Answers (1)
New Questions in Mathematics
Dec 14, 2015 - You and a friend each have a collection of tokens. Initially for every 8 tokens you had, your friend had three. After you give half of your tokens to your. friend
Answers (1)
The population of a city is currently 1500. It is expected to triple every - years. Find the population after 30 years.
Answers (1)
What is the perimeter of the regular pentagon when the sides are all 8 in. long?
Answers (2)
What is the area of a rectangle when the length of the rectangle is 3 inches greater than the width
Answers (1)
Leonard used 2/7 of his paycheck to pay his cell phone bill. How much was Leonard's cell phone bill?
Answers (1)
Home » Mathematics » Two systems of equations are shown below: System A: 6x+y=2 -x-y=-3 System B: 2x-3y=-10 -x-y=-3 Which of the following statements is correct about the two system equations?
Sign Up Forgot Password?