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
netineya [11]
3 years ago
5

-x + 2y = 21 5x + 6y = 23

Mathematics
2 answers:
netineya [11]3 years ago
7 0

Answer:

(-5, 8)

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination
  • Solving systems of equation by graphing

Step-by-step explanation:

<u>Step 1: Define systems</u>

-x + 2y = 21

5x + 6y = 23

<u>Step 2: Rewrite systems</u>

-x + 2y = 21

  1. Subtract 2y on both sides:                    -x = 21 - 2y
  2. Divide -1 on both sides:                         x = -21 + 2y
  3. Rearrange:                                              x = 2y - 21

<u>Step 3: Redefine systems</u>

x = 2y - 21

5x + 6y = 23

<u>Step 4: Solve for </u><em><u>y</u></em>

<em>Substitution</em>

  1. Substitute in <em>x</em>:                         5(2y - 21) + 6y = 23
  2. Distribute 5:                             10y - 105 + 6y = 23
  3. Combine like terms:                16y - 105 = 23
  4. Add 105 on both sides:           16y = 128
  5. Divide 16 on both sides:          y = 8

<u>Step 5: Solve for </u><em><u>x</u></em>

  1. Define original equation:                    5x + 6y = 23
  2. Substitute in <em>y</em>:                                     5x + 6(8) = 23
  3. Multiply:                                                5x + 48 = 23
  4. Subtract 48 on both sides:                 5x = -25
  5. Divide 5 on both sides:                       x = -5

<u>Step 6: Graph systems</u>

<em>Check the solution set.</em>

9966 [12]3 years ago
6 0
( x , y ) = ( -5 , 8 )
You might be interested in
Which expression represents the total surface area, in square centimeters, of the square pyramid? A square pyramid. The square b
Mumz [18]

Answer:

a

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
PLEASE HALP PPLS!!!!!!!!!!!!!!!!!!!!!!
Ket [755]
The 7 is moved around the edge
5 0
3 years ago
The square root of 9 times x to the 6th power​
ololo11 [35]

Answer:

531,441

Step-by-step explanation:

9 x 9 x 9 x 9 x 9 x 9 = 531,441

5 0
3 years ago
Read 2 more answers
The sum of 5 times a number and 3 is 7.
Nesterboy [21]

Answer:

5y+3=7

Step-by-step explanation:

6 0
2 years ago
What is the range of the following table
MAVERICK [17]

Answer:

Domain: {  3 , 4 , 5 , 6 }

Range:  { 0 , 1 , 2 , 3 }

Step-by-step explanation:

The domain is the set of all the values of  x . The range is the set of all the values of  y .

5 0
3 years ago
Read 2 more answers
Other questions:
  • How can you tell if a system of equations has infinite solutions?
    5·1 answer
  • (x + 2) is raised to the fifth power. The third term of the expansion is:
    13·1 answer
  • Bajdjfjfofjncbcixkdbdhdjxixjdbdhdjdidjbdhdjdjcifjfnfnfjfjcjcj
    9·1 answer
  • seventy-two students sit on benches in one section of the football stadium. Each bench holds 6 students. Write a number sentence
    14·1 answer
  • You'll be marked brainliest!!
    11·2 answers
  • The following values represent exponential function ƒ(x) and linear function g(x).
    5·1 answer
  • Complete the steps to solve the polynomial equation x3 – 21x = –20. According to the rational root theorem, which number is a po
    9·1 answer
  • Solve the equation : |x| - 6 = 4
    8·1 answer
  • Find the value of x for mAB=34 and mCD=25 (The figure is not drawn to scale.)
    6·2 answers
  • When comparing two data sets, Kimberly uses the median and IQR after determining that the mean and MAD do not accurately represe
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!