Search 75,436 tutors
FIND TUTORS
Ask a question
0 0

6x=3y-5 and 7x+2=4y elimination method

I need answers to the following please:

5x+y=3 and y=3-5x system of equations

6x=3y-5 and 7x+2=4y elimination method

3x-y=6 and 6x-2y=18

1/4x + 1/3y=5 substitution method

(2,-2)  3x=8-y and 9x=24+3y is this ordered pair a solution

3x+4y=4 and x=32-9y substitution method

x+y=-1 and x-y=9 elimination method

2x-3y=0 and 4x+4y=0 system of equations

2x=-7y and 3x-7y=-25 elimination method

5x=23+4y and -6/5x+y=-26/5 elimination method

8x-y=5 and x+9y=28 elimination method

 

Please help me with the answers to the question above

Tutors, please sign in to answer this question.

2 Answers

The elimination method of solving systems of equations is also called the addition method.

     8x  -  y = 5   ..... (1)
      x + 9y = 28  ..... (2)
Let's multiply (1) by "9" and add equations together: 

     72x - 9y = 45
 +   
       x  + 9y = 28    
    73x  + 0  = 73
  
    73x = 73 ---> x = 1

Let's plug in the value of x into (2):

     1 + 9y = 28
  - 1            - 1    
          
     9y = 27  ----> y = 3 

The solution for system of two linear equations is a pair of numbers:
         (1, 3)
————————————
Now, let's verify solution:
(1)  ....  8 * 1 - 3 = 5                  5 = 5

(2) ....  1 + 9 * 3 = 28
               28 = 28