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
Julli [10]
3 years ago
13

20 Point Offer.5x + 7y = 142x - 7y = 14Elimination Method.

Mathematics
1 answer:
AlekseyPX3 years ago
3 0

The solution of the system of equations is (4 , -\frac{6}{7} )

Step-by-step explanation:

The steps of the elimination method:

  1. Make the coefficients of one of the two variables in the two equations have same value and different signs
  2. Add the two equations to eliminate this variable
  3. Solve the resulting equation to find the other variable
  4. Substitute the value of the other variable in one of the two equations to find the variable that eliminated

∵ 5x + 7y = 14 ⇒ (1)

∵ 2x - 7y = 14 ⇒ (2)

- The coefficients of y in the two equations have the same

   value and different signs, then add the two equations

    to eliminate y

- Add equations (1) and (2)

∴ 7x = 28

- Divide both sides by 7

∴ x = 4

Substitute the value of x in equation (1) to find y

∵ 5(4) + 7y = 14

∴ 20 + 7y = 14

- Subtract 20 from both sides

∴ 7y = -6

- Divide both sides by 7

∴ y = -\frac{6}{7}

The solution of the system of equations is (4 , -\frac{6}{7} )

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

You might be interested in
Please help me find total surface area
vredina [299]

Answer:

2(lw + wh + hl)

2×71

142

this is the answer

5 0
2 years ago
Read 2 more answers
How many digits are there in Hindu- Arabic system
kobusy [5.1K]
10 digits.
0, 1, 2, 3, 4, 5, 6, 7, 8, and 9
5 0
3 years ago
Which geometric shape can be described as a fixed distance along a line?
Nina [5.8K]
Perpendicular distance i believe
5 0
3 years ago
What are the solutions?<br>8x^2-12x-23=-5​
erastova [34]

Answer:

x = 3/4 + (3 sqrt(5))/4 or x = 3/4 - (3 sqrt(5))/4

Step-by-step explanation:

Solve for x over the real numbers:

8 x^2 - 12 x - 23 = -5

Divide both sides by 8:

x^2 - (3 x)/2 - 23/8 = -5/8

Add 23/8 to both sides:

x^2 - (3 x)/2 = 9/4

Add 9/16 to both sides:

x^2 - (3 x)/2 + 9/16 = 45/16

Write the left hand side as a square:

(x - 3/4)^2 = 45/16

Take the square root of both sides:

x - 3/4 = (3 sqrt(5))/4 or x - 3/4 = -(3 sqrt(5))/4

Add 3/4 to both sides:

x = 3/4 + (3 sqrt(5))/4 or x - 3/4 = -(3 sqrt(5))/4

Add 3/4 to both sides:

Answer:  x = 3/4 + (3 sqrt(5))/4 or x = 3/4 - (3 sqrt(5))/4

4 0
3 years ago
If its 5 cookies for every 4 friends how many does each friend have?
Firlakuza [10]

Answer:1.24

Step-by-step explanation

7 0
3 years ago
Read 2 more answers
Other questions:
  • Find x when y = 5 in the literal equation 4x + 7y = 51
    11·2 answers
  • What is 58.58 repeeting converted
    10·1 answer
  • Pls follow if u answer right u get 33 points and a follow
    7·2 answers
  • Select the correct difference.<br> <br> -3z 5 - (-7z 5)<br> <br> -10z5<br> -4z5<br> 4z5<br> 4z
    12·2 answers
  • rammy has saved $26 for a new bicycle helmet that costs $47. let n represent the money he still needs to save. write an addition
    15·2 answers
  • EXAMPLE 3 A wooden cube has edges measuring 5 centimeters each. Find the
    10·1 answer
  • PLEASE HELP MEEEEEE!!!!!<br> I literally have to get this done
    9·1 answer
  • The sum of Randy’s age and Mike’s age is 41. The difference of their ages is 7. Mike is older than Randy.
    8·1 answer
  • Show ur work and check it
    15·2 answers
  • The area of the base and total surface area of a square based solid pyramid are 144 sq. cm and 384 sq cm respectively. What will
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!